the table show the total cost to be a member of the gym for different numbers of months.number of months. total costs3. $53.976. $77.9412. $125.88create a function that gives the total cost C,in dollars to be a member of the gym given the number of months M of member ship.

The Table Show The Total Cost To Be A Member Of The Gym For Different Numbers Of Months.number Of Months.

Answers

Answer 1

The table shows the total cost to be a member of the gym for different numbers of months.



Number of months. total costs

3. $53.97

6. $77.94

12. $125.88



Create a function that gives the total cost C, in dollars to be a member of the gym given the number of months M of membership.

_____________________________________

Total cost = M* (factor per month ) + b

_____________________________________

The expression for a linear equation is

*The slope-intercept form.

y = mx + b

m= (y2-y1)/ (x2-x1) (I)

y-intercept is (0, b)

*and the point-slope form

y- y1 = m(x-x1) (II)

________________________

Point 1 (3, 53.97)

Point 2 (12, 125.88)

Replacing in (II)

The slope m = (y2- y1)/ (x2-x1) = (125.88- 53.97)/(12-3) = 7.99

y - 53.97 = 7.99* (x- 3)

y = 7.99 x - 7.99* 3 + 53.97

y = 7.99x + 30

____________________

Verifying

y = 7.99x + 30

x= 3

y = 7.99*3 + 30

y= 53.97

x= 6

y = 7.99*6 + 30

y= 77.94

x= 12

y = 7.99*12 + 30

y= 125.88

_________________________

Answer

The linear function is y = 7.99x + 30

The Table Show The Total Cost To Be A Member Of The Gym For Different Numbers Of Months.number Of Months.

Related Questions

Samuel orders four DVDs from an online music store. Each DVD costs $9.96. He has a 25% discount code, and sales tax is 7.75%. Round sales tax amounts to the nearest cent. What is the total cost of his order?

The total cost of Samuel's order is $

Answers

Samuel's order will ultimately cost $39.84.

One DVD Samuel purchased cost $9.96.

He purchased four DVDs in total.

as a result, his total outlay will be 4 * 9.96 = $39.84.

The 7.75% sales tax that must be paid is disclosed to us.

Adding 7.75% to $39.84 yields

39.84 x 7.75/(100) (100)

= $3.0876

Consequently, the total amount of tax due is $3.0876.

Using 25% of 39.84 to calculate a 25% discount,

39.84 x 25/100

= 996/100

=$9.96

Consequently, the total discount on the total of $39.84 will be $9.96.

as a result, the updated purchase price will be,

39.84-9.96

=$29.88

adding the tax to the updated price,

9.96+29.88

= $39.84

Consequently, Samuel's order will ultimately cost $39.84.

How are percentages calculated?

One must compute percentage in order to determine the proportion of a whole that is stated in terms of 100. A percentage can be determined using one of two methods:

using the unitary method.

by changing the fraction's denominator to 100.

It should be noted that the second method of percentage computation is not used when the denominator is not a factor of 100. In these circumstances, we make use of the unitary approach.

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I am confused my old teacher got fired so we are learning stuff completely different and I am rlly confused in this assignment please help me.

Answers

Hello!

First, let's analyze these two quadrilaterals:

• Notice that the quadrilateral AB'C'D is ,smaller ,than the quadrilateral ABCD.

Let's try to solve it using the lines AB and AB':

• The measurement of the ,line AB is 14 units,.

,

• The measurement of the ,line AB' is 7 units,.

Knowing it, let's write the scale factor as:

[tex]\text{ScaleFactor}=\frac{AB^{\prime}}{AB}=\frac{7}{14}=\frac{1}{2}[/tex]

Answer: alternative D.

Level C
Mia, Jake, Carol, Barbara, Ford and Jeff are all going to a costume party. Figure
out what costume each person is wearing and when they arrived at the party.

•The person that arrived fourth was wearing a bathing suit.

•Barbara was the last to arrive.

•Jake and Mia arrived and stayed together.

● The first person was dressed as a French maid.

• Superman arrived right before Barbara.

•The potato heads were always together at the party.

•Ford was a surfer dude.

• The French maid was not Carol.

• The vampire arrived after Superman.

Answers

Using logical reasoning, we can conclude that the costumes of 6 friends are:

Barbara ⇒ VampireJake and Mia ⇒ Potato headsFord ⇒ Surfer guyFrench maid ⇒ JeffCarol ⇒ Superman

What is logical reasoning?Deductive (Logical) Reasoning. Using a collection of facts or data to infer further facts is known as logical or deductive reasoning. It entails using premises to support certain conclusions.Any problem can be objectively studied through the use of reasoning skills, which aids in coming to a logical conclusion about how to continue. For instance, let's say you have an issue at work, and you need to solve it. You use the information at hand and your capacity for logical reasoning.

So, We know:

Barbara ⇒ Vampire ⇒ Last to arrive ⇒ After SupermanJake and Mia ⇒ Arrived and stayed together ⇒ Potato headsFord ⇒ Surfer guyFrench maid ⇒ 1st person ⇒ Not CarolCarol is left to be ⇒ Superman

So, the conclusions can be:

Barbara ⇒ VampireJake and Mia ⇒ Potato headsFord ⇒ Surfer guyFrench maid ⇒ JeffCarol ⇒ Superman

Therefore, using logical reasoning, we can conclude the costumes of 6 friends are:

Barbara ⇒ VampireJake and Mia ⇒ Potato headsFord ⇒ Surfer guyFrench maid ⇒ JeffCarol ⇒ Superman

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Anna spent half her weekly allowance at the movies to earn more money her parents let her wash the car for $8 what is her weekly allowance if she ended with $18

Answers

This situation can be expressed by the equation [tex]x-\frac{x}{2} +8=18[/tex], her weekly allowance is $20.

What is an equation?

The description of an equation in algebra is a mathematical proposition that demonstrates the equality of two mathematical expressions.For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.

Let the weekly allowance of anna be = X

Allowance spent on movies= X/2

The extra money from the car wash = 8

Allowance retained with anna = 18

This situation can be expressed by the equation,

[tex]x-\frac{x}{2} +8=18[/tex]

Solving the above equation, we get,

[tex]\frac{x+16}{2} =18[/tex]

x+16=36

x=20

Therefore, her weekly allowance is $20.

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Solve 32 ≤ −5z − 32.

Answers

The solution to the given linear equation is equivalent to z≥ -12.8

Solving linear equation

Linear equations are equations that has a linear degree of 1. Given the following linear equation below:

32 ≤ −5z − 32

Add 32 to both sides

32 + 32 ≤ −5z − 32 + 32

64  ≤ −5z

Swap

-5z ≥ 64

Divide both sides by -5.

-5z/-5 ≥ 64/-5

z≥ 64/-5

z≥ -12.8

This gives the equivalent linear equation.

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Answer: Its c not d he kinda had it right but no

Step-by-step explanation:

Equivalent equation to 2(x +3)=16

Answers

Answer: x = 5Show your work!! = 2(x+3)=16Apply the Distributive Property2x+6=16Rearrange variables to the left side of the equation2x=16-6Calculate the sum or difference2x = = 10Divide both sides of the equation by the coefficient of variable10 2

Multiply.

40.631⋅1.07

Responses

4.347517

43.47517

434.7517

4347.517

Answers

Answer: 43.47517

Step-by-step explanation:

Considering orders of magnitude, we see that Option 2 is the only reasonable answer.

MATH 100 points if you do this

Answers

Answer:

300% increase

Answer:

Increase

200%

Step-by-step explanation:

Since I can't figure out how to input my work in my answer as equations, I will attach my work from a screenshot!

Hope this helps! Have an amazing rest of your day! Please consider awarding me brainliest! ;)

A paintball court charges an initial entrance fee plus a fixed price per ball. Suppose it costs $18 to use 2 balls and $23 to use 4 balls. What is the entrance fee?

Answers

The entrance fees is 13 dollars charges by the paintball court.

Let us assume that the entrance fees is $X and the actual cost of using one ball is $Y charged by the paintball court.

According to one situation,

Total cost of using to ball = Cost of entry fees + actual cost of using two ball.

So, we can write,

X + 2Y = 18

Let us say that this is our equation 1,

Also, it is provided,

Total cost of using 4 balls = cost of entry fees + actual cost of using four balls.

X + 4Y = 23

Let us say that this is our equation 2,

Both of our equations are linear equations with two variables,

Now, substracting equation 1 from equation 2,

X + 4Y -(X + 2Y) = 23 - 18

2Y = 5

Y = $2.5.

Putting the value of Y = 2.5 in equation 1,

X + 2(2.5) = 18

X = 18 - 5

X = $13.

So, the entry fees is 13 dollars.

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AB and BC are perpendicular lines.
Find the value of x.

Answers

X = 32.5

First put it into an equation:

25 + 2x = 90

Then subtract 25 from both sides:

2x = 65

Finally divide by 2 on both sides:

X = 32.5

Write the following number in standard decimal form.six tenths

Answers

[tex]6\text{ }\times10^{-1}[/tex]Explanation:

Rewriting the words mathematically:

[tex]\text{Six tenths = }\frac{6}{10}[/tex]

Next we will write in standard decimal form:

[tex]\begin{gathered} In\text{ decimal, 6/10 = 0.6} \\ We\text{ have one decimal place} \\ 0.6\text{ }is\text{ standard decimal = 6 }\times10^{n\text{ umber of movement})} \end{gathered}[/tex][tex]\begin{gathered} \text{movement from left to right will have a negative sign in front of the number of movement} \\ \text{movement from right to left will be positive} \\ \\ AS\text{ result, 0.6 = 6 }\times10^{-1} \end{gathered}[/tex]

Someone answer this please!

Answers

Answer:

Answer down below!

Step-by-step explanation:

The correct answers are as follows:

2^381 over 1/2^3

Answer: 2nd, 3rd, 5th

Step-by-step explanation:

Solve the problem

1/2*1/2*1/2 = 1/1/8

1 * 8/1

8

Check each answer

1) -(1/2)^3

-(1/2*1/2*1/2)

-(1/8)

-1/8

No

2) 2^3

2 * 2 * 2

8

Yes

3) 1/1/2^3

[tex]\frac{1}{\frac{1}{2} *\frac{1}{2} *\frac{1}{2} }\\ \frac{1}{\frac{1}{8} }\\1 * \frac{8}{1} \\8[/tex]

Note: Flip fraction when dividing a fraction.

Yes

4) 1/8

1/8

No

5) 8

8

Yes

Megan is in a musical production. She was at practice for 2 3/4 hours yesterday and 3 1/2 hours today. Altogether she spent 1/3 of her practice hours dancing. How many total hours did Megan spend dancing yesterday and today?

Answers

Megan spent 2 1/12 hours dancing both yesterday and today

How to calculate the number of hours Megan spent dancing ?

Megan is involved in a musical production

Yesterday, she practiced for 2 3/4 hours

Today she practiced for 3 1/2 hours

The first step is to calculate the total number of hours she spent at the practice

2 3/4 + 3 1/2

= 11/4 + 7/2

The LCM between both fractions is 4

11/4 + 7/2

11 + 14/4

= 25/4

Megan spent 25/4 hours yesterday and today practicing

Out of this 25/4 hours, she spent 1/3 hours dancing

Therefore the hours she spent dancing can be calculated as follows

= 25/4 × 1/3

= 25/12

= 2 1/12

Hence Megan spent 2 1/12 hours dancing yesterday and today

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what is the slope of y=4.5

Answers

The slope-intercept form is
y
=
m
x
+
b
y
=
m
x
+
b
, where
m
m
is the slope and
b
b
is the y-intercept.
y
=
m
x
+
b
y
=
m
x
+
b
Find the values of
m
m
and
b
b
using the form
y
=
m
x
+
b
y
=
m
x
+
b
.
m
=
0
m
=
0
b
=
4.5
b
=
4.5
The slope of the line is the value of
m
m
, and the y-intercept is the value of
b
b
.
Slope:
0
0
y-intercept:
(
0
,
4.5
)

Answer:

0

Step-by-step explanation:

there is no x so it is 0

0 it is

∠A and ∠B are vertical angles. If ∠A = (x-29) and m∠B = (6x-11), then find the value of x.

Answers

The required value of x is -3.6 which is determined by the substitute that equals the vertical angles.

What are the vertical angles?

When two lines intersect at a location, vertical angles are generated. They are always equal to each other.

Since ∠A and ∠B are vertical angles then they are congruent, thus

⇒ (x - 29) = (6x - 11)

Subtract 6x from both sides of the above equation,

⇒ x - 29 - 6x = 6x - 11 -6x

⇒ -5x - 29 = - 11

Add 29 to both sides of the equation,

⇒ -5x - 29 + 29 = - 11 + 29

⇒ -5x = 18

Divided by 5 to both sides of the equation,

⇒ x = - 18/5

⇒ x = - 3.6

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Help please I don’t knowwww

Answers

The corn's height when the fertilizer was applied is 13 centimeters and it grows at a rate of 13 centimeters each day.

What is the interpretation of the linear equation?

The equation that is given is known as a linear equation. A linear equation is an equation that has a single variable that is raised to the power of one.

A linear equation increases or decreases at a constant rate. When a linear equation is drawn on a graph, it is a straight line that curves either upward or downward.

A linear equation usually has this form y = mx + b

Where:

m = slope = rate of change of the equation with respect to x b = intercept

H = 13 + 13t

Where:

13 = intercept = initial height of the corn 13 = slope = daily increase in the height of the corn

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The store is trying to get rid of their Game of Thrones Season 8 sets and is marking them down by 25%. The original price was $55. What is the new price before sales tax?

Answers

The answer is $41.75

The ordered pairs below represent a function.

{(−4,2), (−2,1), (0,0), (2,−1)}

What is the RANGE of the function?

Answers

The range of the function is -1 ≤ y ≤ 2

What is the range of a function?

The range of a function is the set of output values of the graph.

This in other words mean the range of a function is the set of y values of the graph.

How to determine the range of the function?

The ordered pair is given as

{(−4,2), (−2,1), (0,0), (2,−1)}

Rewrite as

(x, y) = {(−4,2), (−2,1), (0,0), (2,−1)}

Remove the y values

So, we have

y = {2, 1, 0,−1}

Express as an inequality

-1 ≤ y ≤ 2

Hence, the range is -1 ≤ y ≤ 2

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You are serving bratwurst and hamburgers at your annual picnic. You want at least three bratwursts or hamburgers for each of your 35 guests. Bratwursts cost $1.3 each and hamburgers $1.2 each. Your budget is $150

Answers

Total cost of bratwursts + Total cost of hamburgers ≤ 150

that is 1.3x + 1.2y ≤ 150

Given,

The total number of guests = 35

Minimum number of bratwursts or hamburgers each one need = 3

The cost of bratwursts = $1.3 each

The cost of hamburgers = $1.2 each

Total budget = $150

We can take number of bratwursts as x and number of hamburgers as y.

Lets check.

Each guest need at least three food items = 35 × 3 = 105

That is, you need more than 105 food items.

So,

x + y ≥ 105

Lets see,

Total cost for bratwursts = 1.3x

Total cost for hamburgers = 1.2y

Now, your total budget is $150. So, the cost of food items must be less than or equal to 150.

That is,

Total cost of bratwursts + Total cost of hamburgers ≤ 150

1.3x + 1.2y ≤ 150

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I dont understand this

Identify all pairs of parallel segments. Arrange letters in
C
ALPHABETICAL
orders (AC. DF)
)//(
)//(
)//(

Answers

All pairs of parallel segments are given below.

What are parallel lines?

Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other. Perpendicular lines are those that cross at a straight angle of 90 degrees. Two lines in the same plane that are equally spaced apart and never cross each other are said to be parallel lines in geometry. Both horizontal and vertical shapes are possible. Examples of parallel lines can be found everywhere, including zebra crossings, rows of notebooks, and the nearby railroad tracks.

Given,

a) Line segment = AC and FD

Parallel = AC ║FD

b) Line segment = AE and BD

Parallel = AE ║BD

c) Line segment = EC and FB

Parallel = EC ║FB

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Mellisa buys 2.5 pounds of salmon and 1.25 pounds of swordfish. She pays a total of $31.25, and the swordfish costs $0.20 per pound less than the salmon l. What would be the combined cost of 1 pound of salmon and 1 pound of swordfish.

Answers

The combined cost of 1 pound of salmon and 1 pound of swordfish is $16.60

Let $x be the cost of 1 pound of salmon.

The swordfish costs $0.20 per pound less than the salmon, then $(x-0.20) is the cost of 1 pound of swordfish.

Melissa buys 2.5 pounds of salmon and pays $2.5x for salmon.

Melissa buys 1.25 pounds of swordfish and pays $1.25(x-0.20) for swordfish.

She pays a total of $31.25, then we get an equation,

2.5x + 1.25(x - 0.20) = 31.25

We solve above equation for x.

2.5x + 1.25x - 0.25 = 31.25

3.75x = 31.50

x = 8.4

So, the cost of 1 pound of salmon is $8.40 and 1 pound of swordfish is $8.20

and combined cost = $8.40 + $8.20

Therefore, the combined cost of 1 pound of salmon and 1 pound of swordfish is $16.60

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Graph each function f(x)=1/4 x

Answers

Graph f(x)=14.

Plot each graph on the same coordinate system.

f(x)=14x

image of graph

On May 8, 2010, a team of kayakers sets a record time for 5h 19 min 17 sec to kayak across the length of Loch Ness, Scotland, UK, a distance of 20.5 mi. When the kayakers were four times as far from the starting point as from the finish, how many miles were traveled?

Answers

Answer:

16.4

Step-by-step explanation:

The time is irrelevant to the problem

fraction42 *20.5= 16.4

Hope this helps

When are reciprocals used to solve an equation?

Answers

It's important to know that reciprocals are the multiplicative inverse of a numbers, for example, the reciprocal of 7 is 1/7.

As you can observe, using reciprocals would help to solve equations when we have to get rid off a factor. For example, if we have the equations 4x = 8, we would use the reciprocal of 4 to isolate the variable x: (4x)/4 = 8/4 then x = 2.

Therefore, reciprocals are used to move factors across the equation to isolate the variable.

Pls help 50 points

You have already traveled 30 miles east and then 30 miles north. To get back to the start, you travel 30 miles west in 1 hour and then 30 miles south in a half hour. What are your average speed and average velocity for the whole rally? Explain your answer.

Will report if answer is not related to question

Answers

Using it's concepts, the average speed and the average velocity are given as follows:

Average speed: 40 miles per hour.Average velocity: 0 miles per hour.

Average speed

The average speed is given by the quotient between the total distance traveled and the time taken, that is:

Average speed = total distance/time

In this problem, the total distance is of 60 miles(30 miles west + 30 miles south), in a time of 1.5 hours(1 hour west and 0.5 hours south), hence the average speed is given as follows:

Average speed = 60/1.5 = 40 miles per hour.

Average velocity

The average velocity is given by the quotient between the displacement and the time taken, that is:

Average velocity = displacement/time

The displacement is the difference between the final position and the initial position. Since the person got back to the start, finish = start, hence the displacement is of zero, as is the average velocity.

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………………………………………………….

Answers

Answer:

i don't know if this is fully correct but I believe that the answer is both because both elements are used it this piece of art. one the art is in color. two it uses both horizontal and vertical lines.

2-2 additional practice

Answers

Answer:

0

Step-by-step explanation:

2-2=0

List the first 5 multiples.
18:
20:
16:
32:

Answers

Answer: 18: 18, 36, 54, 72, 90
20: 20, 40, 60, 80, 100
16: 16, 32, 48, 64, 80

32: 32, 64, 96, 128, 160

Step-by-step explanation:

multiply each number by 1 2 3 4 5 respectivly to get the answer.

NEED ASAP PLEASEEEEEE

Answers

you’re correct it’s number 3 because it’s the only one without an equal sign

the jasmine family kept a log of the distance they traveled during a trip, as represented by the graph below
during which interval was their average speed the greatest

Answers

Answer:

I would say its 4, the eighth to tenth hour.

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