A function, f left parenthesis x right parenthesis comma models the depth of water in a wading pool that is filling at a rate of 11 gallons per minute. Which of these describes why f left parenthesis x right parenthesis can be considered a linear function? I. For every 1 minute interval, the depth of water in the wading pool increases by the same amount. II. The function grows by equal factors every minute. III. The slope of the function is constant.

Answers

Answer 1

Answer:

quiz let or brainy helps me just look up the chapter question and you will get the answer

Step-by-step explanation:

hope this helps

Answer 2

f(x) can be considered as a linear function because of the following conclusions -

1 → For every 1 minute interval, the depth of water in the wading pool increases by the same amount of 11 gallons/minute.

2 → The slope of the function is constant.

What is the general equation of a straight line?

The general equation of a straight line is -

y = mx + c

Where -

[m] is the slope of the line.

[c] is the y - intercept.

Given is the following statement representing a function - f(x), that models the depth of water in a wading pool that is filling at a rate of 11 gallons per minute.

Assume that we represent the depth of the water rate by [y] and the time in minutes by [m]. We can write the function f(x) as -

y = f(x) = 11m

This is a linear relation and its graph will be a straight line passing through origin.

From this equation, we can make the following conclusions -

1 → For every 1 minute interval, the depth of water in the wading pool increases by the same amount of 11 gallons/minute.

2 → The slope of the function is constant.

Therefore, f(x) can be considered as a linear function because of the following conclusions -

1 → For every 1 minute interval, the depth of water in the wading pool increases by the same amount of 11 gallons/minute.

2 → The slope of the function is constant.

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Related Questions

7/4 fraction in lowest term

Answers

The Awnser is 1 3/4

Cube the following number
A. 1
B. 2
C. 4
D. 8

Answers

Answer: 1, 8, 64, 512

Step-by-step explanation:

1^3 = 1 * 1 * 1 = 1

2^3 = 2 * 2 * 2 = 8

4^3 = 4 * 4 * 4 = 64

8^3 = 8 * 8 * 8 = 512

How to solve
3sin^2x-5sinx-2

Answers

So not commit sins
Become one with the lord
Read the bible
Too many sins
Ask the lord for forgiveness
Thats how you solve you answer
Explanation
Listed above
Bababoey

Which of the following expressions is the inverse of the function y = 3x + 4?

Answers

Answer:

Reverse the x and y:

x = 3y + 4.  

Now subtract 4 from both sides:

x - 4 = 3y

Divide both sides by 3:

1/3 x - 4/3 = y

What is the value of x in the equation 0.75x+3=6(x-3)?

Answers

Answer:

x = 4

Step-by-step explanation:

Given

0.75x + 3 = 6(x - 3) ← distribute

0.75x + 3 = 6x - 18 ( subtract 0.75x from both sides )

3 = 5.25x - 18 ( add 18 to both sides )

21 = 5.25x ( divide both sides by 5.25 )

4 = x

A restaurant surveyed consumers to determine if they like hot or cold beverages for breakfast. 60 consumers like hot beverages, and 40 like cold beverages, and 12 neither, how many consumers were surveyed

Answers

Answer:

112

Step-by-step explanation:

You just have to add all of those numbers

60 +40  =100

100 + 12= 112.

Answer:

92 people

Step-by-step explanation:

Since there is 20 people who liked both hot and cold beverages, we can subtract from the people who like hot beverages and people who like cold beverages to find the people who ONLY like hot beverages and the people who ONLY like cold beverages.

People who only like cold beverages:

40 - 20 = 20

People who only like hot beverages:

60 - 20 = 40

Summing it all up:

40 + 20 + 20 + 12 = 92 people total

I hope this helps! :)

From midnight to 11:00 am, the temperature dropped 1.1°C each hour. If the temperature at 11:00 am was -16.1°C, what was the temperature at midnight?

Answers

Answer:

-41.4°C

Step-by-step explanation:

1.1 * 23 = 25.3

16.1 + 25.3 = 41.4

(I prefer working with positive numbers and just switch the sign at the end)

Hope this helped.

-Pepsi

The temperature at midnight was approximately -28.2°C, here the temperature dropped by 1.1°C each hour.

From midnight to 11:00 am, there are a total of 11 hours (since 11:00 am is 11 hours after midnight).

Given that the temperature dropped 1.1°C each hour, the total temperature drop is 1.1°C/hour × 11 hours = 12.1°C.

To find the temperature at midnight, we subtract the total temperature drop from the temperature at 11:00 am:

Temperature at midnight = Temperature at 11:00 am - Total temperature drop

= -16.1°C - 12.1°C

= -28.2°C

Therefore, the temperature at midnight was approximately -28.2°C.

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Help me please I don’t know it

Answers

C both of these is correct

Answer if u know PLS​

Answers

The answer is d (|-23.6|)

Answer: Fourth Option: |-23.6|

Reason: 15 is fifteen units away from zero. -13 is thirteen units away from zero. 20.5 is twenty point five units away from zero. And |-23.6| is twenty three point six units away from zero. Hence the last option being the furthest from zero.

I hope this helps, and Happy Holidays! :)

-12 -9 (t-3) = 78

t=?

Answers

Answer:

equals -43

Step-by-step explanation:

-12-9(t-3) = 78
Multiply -9 by t and -3 so:
-9(t-3)
-9t + 27
Now add that back to the equation:
-12 -9t +27 = 78
Now combine -12 and 27:
-12-9t +27 =78
15 -9t = 78
Since 15 is positive ( there is no - sign), we need to subtract 78 by 15:
15 -9t = 78
-15 -15
We subtracted and not added because the opposite of addition is subtraction. Now, we have:
-9t = 63
To find t, we need to divide -9t because we are trying to get t to be alone, so:
-9t = 63
————-
-9t -9t
So now, we have:
t= -7
We have a positive t because a negative divided by a negative is equal to a positive.
So, the answer is :
t = -7
Hope this helps, and would you please rank this brainiest?

Which statement about graphs and their inverse is true?

Answers

A. They are symmetric about y=x

Help pls I'm really busy and if I get ur help you will make my whole day :(

Answers

Answer:

1.) 7 ft = 84 in   2.) 100 yd= 300 ft  3.) 96 oz= 6 lbs  4.) 32 fl oz= 4 c  5.) 48 oz            6.) 80,000 lbs

Step-by-step explanation:

You have to use conversation rates.

1. 84

2. 300

3. 6

4. 4

5. 48

6. 80,000

Step-by-step explanation: I hope this made your day ツ

The answer to this questiob

Answers

slope = 3/4
y intercept = 2
equation : y= 3/4x+2

Answer: slope = 3/4

y intercept = 2

equation : y= 3/4x+2

Step-by-step explanation:

How to solve this problem

Answers

Answer:

Solving the radical [tex]\pm\sqrt{-81}[/tex]  we get [tex]\mathbf{\pm9 \ i}[/tex]

Step-by-step explanation:

We need to express the radical [tex]\pm\sqrt{-81}[/tex] using the imaginary unit i

Prime factors of 81 are: 3x3x3x3

and [tex]\sqrt{-1}=i[/tex]

Solving:

[tex]\pm\sqrt{-81}\\=\pm\sqrt{81}\sqrt{-1}\\=\pm\sqrt{3\times3\times3\times3}i\\ =\pm\sqrt{3^2\times3^2}i\\=\pm3\times3\ i\\=\pm9 \ i[/tex]

So, Solving the radical [tex]\pm\sqrt{-81}[/tex]  we get [tex]\mathbf{\pm9 \ i}[/tex]

is Water is stored in response to changing demand a cause or effect

Answers

the answer is effect

Answer:

this a effect you can change the change the water

Question 1 -What number in the equation below would be the coefficient?
- 4x
7 = 5
4
-7
O 5
O none of the above

Answers

Answer:

4

Step-by-step explanation:

coefficient is the number next to the variable.

Nolan is a songwriter who collects royalties on his songs whenever they are played in
a commercial or a movie. Nolan will earn $50 every time one of his songs is played in
a commercial and he will earn $100 every time one of his songs is played in a movie.
How much would Nolan earn if his songs were played in 10 commercials and 5
movies? How much would Nolan earn if his songs were played in x commercials and
y movies?

Answers

Answer:

500$+500$=1000$

Step-by-step explanation:

for songs=50×10=500$

for movie=5×100=500$

total=500$+500$=1000$

50x+100y

hope it helps:)

what is 62 ÷ 3186 I need to know?​

Answers

Answer:

0.02

Step-by-step explanation:

31/1593 or 0.01946013...

Plz Help! Will give Brainliest!!!
Kennan graphed the location of several places in his town on the coordinate plane shown below. Determine if each statement about Kennan's graph is true or false. True False The library is 555 units from the yyy-axis. The school is located at (0,6)(0,6)left parenthesis, 0, comma, 6, right parenthesis.

Answers

Answer:

Concept: Graph Analysis

The library is 5 units to the left from the y-axis hence the statement is TrueThe School is not located at (0,6) it is located at (6,0) hence the statement is False

solve your answer in the simplest form or as a mixed number.
5 7/9 + 4 5/6​

Answers

Answer:

10 11/18

Step-by-step explanation:

5 42/54   4 45/54

9 87/54

10 33/54

10 11/18

pleas give me a brainliest if this helped

Answer:

The answer is [tex]10\frac{11}{18}[/tex]

Step-by-step explanation:

Given fractions are:

[tex]5\frac{7}{9} + 4\frac{5}{6}[/tex]

The given fractions are mixed fractions whose sum has to be found. In order to do this, the mixed fractions are first converted into proper fractions then the LCM is taken to find the sum.

So,

Converting the fractions into proper fractions

[tex]=\frac{52}{9} + \frac{29}{6}[/tex]

Taking LCM

[tex]=\frac{104+87}{18}\\=\frac{191}{18}[/tex]

Converting into mixed fraction

[tex]=10\frac{11}{18}[/tex]

Hence,

The answer is [tex]10\frac{11}{18}[/tex]

Andre divides some stickers evenly among 5 people. Each person receives 8 stickers with none left over. Which equation can be used to determine the
number of stickers, s, Andre had?

Answers

Answer:

multiplication

Step-by-step explanation:

5x8=40

Answer:

If you mean which equation with variables can be used it is s/5 = 8

Step-by-step explanation:

There are 1,800 pastries in a bakery shop. 45% of them are pretzels and the rest are croissants. How many croissants are there?
Group of answer choices

Answers

Answer: There are 990 croissants

Step-by-step explanation:

If 45% of them are pretzels then 55% of the pastries hs to be croissants.

Multiply 55% by the total number of pastries to find the number of croissants.

55% * 1,800 =  990

2+2+2+2+2+2+2+2+2
I know the answer just want to be nice and give someone brainlest cAuse never did before

Answers

Answer:

18

Step-by-step explanation:

Thanks! Have a great day!

When you expand 2 (6x + 12), you get an answer of 12x + 24. How many other ways can
you use brackets so you get the answer of 12x + 24 when you expand them?

Answers

Answer:

There is no other way you can expand the brackets

Step-by-step explanation:

Which of the
the
following fractions is the largest
11/16 , 3/5 , 7/10 , 13/18

Answers

Answer:

11/16, 3/5, 7/10

Step-by-step explanation:

1. 4/5 - 1/6
2. 3/10 - (-1/4)
3. -2/3 + (3/4 + 5/3)

Answers

1. Answer: 19/30 or 0.63
2. Answer: 11/20 or 0.55
3. Answer: 7/4 or 1 3/4 or 1.75
1. 19/30
2.11/20
3.7/4

The governor of state A earns ​$48,980 more than the governor of state B. If the total of their salaries is ​$289,660​, find the salaries of each

Answers

Answer:

Governor of State B: $120,340; Governor of State A: $169,320

Step-by-step explanation:

For the sake of this problem, let's set the salary of State B's governor as x. That would make the salary of State A's governor equal to x+48980. The following lists out how to solve this problem.

Governor B salary + Governor A salary = $48980

x+x+48980=289660

2x+48980=289660

2x=240680

x=120340

120340+48980=169320

Let x = salary for governor of state A
Let y = salary for governor of state B

Then x = y + 48980, since gov. of state A earns this much more than governor of state B.

Therefore we have x + y = 289660. Substitute for x.

(y + 48980) + y = 289660
2y + 48980 = 289660
2y = 240680
y = $120340, which is salary for governor B.

Now we substitute y into x = y + 48980
x = 120340 + 48980
x = $169320, which is salary for governor A.

The vertices of a rectangle are A(2, 0), B(5, 0), C(5, −2), and D(2, −2). Reflect the rectangle in the y-axis, and then rotate the rectangle 180° about the origin. What are the coordinates of the image?

Answers

Answer:

A′(-2, 0), B′(-5, 0), C′(-5, 2), and D′(-2, 2)

Step-by-step explanation:

I did FLVS (Online School stuffs)

The table shows data collected on the relationship between time spent playing video games and time spent with family. The line of best fit for the data is ý = -0.3694.5.
Video Games (Minutes) Time with Family (Minutes)
40 80
55 75
70 69
85 64
A) According to the line of best fit, the predicted number of minutes spent with family for someone who spent 36 minutes playing video games is 81.54.
B) Is it reasonable to use this line of best fit to make the above prediction?
1) The estimate, a predicted time of 81.54 minutes, is reliable but unreasonable.
2) The estimate, a predicted time of 81.54 minutes, is unreliable but reasonable.
3) The estimate, a predicted time of 81.54 minutes, is both unreliable and unreasonable.
4) The estimate, a predicted time of 81.54 minutes, is both reliable and reasonable.

Answers

Complete question :

The table shows data collected on the relationship between time spent playing video games and time spent with family. The line of best fit for the data is ý = -0.36x + 94.5.

Video Games (Minutes) Time with Family (Minutes)

40 80

55 75

70 69

85 64

A) According to the line of best fit, the predicted number of minutes spent with family for someone who spent 36 minutes playing video games is 81.54.

B) Is it reasonable to use this line of best fit to make the above prediction?

Answer:

81. 54

4) The estimate, a predicted time of 81.54 minutes, is both reliable and reasonable.

Step-by-step explanation:

Given that :

The equation of best fit is defined as :

ý = -0.36x + 94.5.

A.) Predicted number of minutes spent with family (y) for someone who spends 36 minutes playing games (x) will be :

x = 36

From the model :

ý = -0.36(36) + 94.5

y = - 12.96 + 94.5

y = 81.54

Hence.nunber of minutes spent with family = 81.54 minutes.

B.) The correlation Coefficient for the model is - 0.9993, which indicates a very strong negative relationship between both variables. Hence, using this fact, we can conclude that the prediction is reliable. From the data also, spending 36 minutes playing games means such individual will have more time than someone who plays games for 40 minutes, hence, the prediction is also reasonable.

A class trip to a beach has been planned for your senior trip. The lifeguard is only on duty when the temperature is between 70 degrees and 105 degrees. There is room for 60 people on your trip. Write the constraints to represent this real-world problem, where x is the temperature and y is the number of people on your trip.

x > 70 and y 70
70 < x < 105 and 0 < y ≤ 60

Answers

Answer:

70 < x < 105 and 0 < y ≤ 60

Step-by-step explanation:

The constraints that represent this real-world problem are; 70 < x < 105 and 0 < y ≤ 60 where x is the temperature and y is the number of people on your trip.

What is inequality?

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

Given:

The Range of temperature is between 70 and 105 degrees.

So, x lies between these two temperatures so x must be greater than 70 degrees but less than 105 degrees.

Therefore, x > 70and x < 105.

On combining these two inequalities we get,

70 < x < 105

Now, number of people that can come for the trip is 60.

y represents the number of people for the trip. So, y can be at most 60.

Or, y ≤ 60 must be less than or equal to 60 and is given as:

Hence, the constraints are:

70 < x < 105 and 0 < y ≤ 60

The constraints that represent this real-world problem are; 70 < x < 105 and 0 < y ≤ 60 where x is the temperature and y is the number of people on your trip.

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