A caterer charges $275 for 15 people and $425 for 25 people. The cost, y, is a linear function of the number of x people. Write an equation in slope-intercept form for this situation. *

Answers

Answer 1

Answer:

The equation of the given situation is y = 15x + 50

Step-by-step explanation:

The slope-intercept form of the linear equation is y = m x + b, where

m is the slope b is the y-intercept

The rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where

(x1, y1) and (x2, y2) are two points on the line

∵ A caterer charges $275 for 15 people

∵ A caterer charges $425 for 25 people

x represents the number of people

y represents the cost

(x1, y1) = (15, 275)

(x2, y2) = (25, 425)

→ Substitute them in the rule of the slope above to find it

∵ m = [tex]\frac{425-275}{25-15}=\frac{150}{10}[/tex]

m = 15

→ Substitute it in the form of the equation above

y = 15x + b

→ To find b substitute x by 15 and y by 275

∵ 275 = 15(15) + b

∴ 275 = 225 + b

→ Subtract 225 from both sides

∴ 275 - 225 = 225 - 225 + b

50 = b

→ Substitute it in the equation

y = 15x + 50

The equation of the given situation is y = 15x + 50


Related Questions

A regular garden hose can pump 1,200 gallons of water in 2 hours. What is the unit rate of
the water flow measured in gallons per minute?

Answers

Answer: 10 gallons per minute

Step-by-step explanation: divide 1200 by 2 to get 600. Then divide 600 by 60. Because there are 60 minutes in an hour.

Membership for the Alpine rock-climbing gym costs $12 per month plus a $120 sign-up fee. Membership for Rocco’s rock-climbing gym costs $20 per month plus a $60 sign-up fee.

After how many months will the memberships cost the same?

Answers

Answer:

Around month 7-8

Step-by-step explanation:

Alpiine=

1 month=$132

2=144

3=156

4=168

5=180

6=192

7=204

8=216

9=228

10=240

Rocco=

1 month=80

2=100

3=120

4=140

5=160

6=180

7=200

8=220

9=240

10=260

A right rectangular prism is packed with cubes of side length inch. If the prism is packed with 12 cubes along the length, 8 cubes along the width, and 5 cubes along the height, what is the volume of the prism?



1)

cubic inches

2)

cubic inches

3)

cubic inches

4)

cubic inches

Answers

Answer:

480 is the correct answer

Step-by-step explanation:

All you have to do is multiply all together.

May I have brainliest?

The grades on a midterm were Normally distributed with a mean of 120 and a standard deviation of 17. The passing score was 111 or higher.

Use the z-table to answer the question.

What percent of students passed the midterm?


70% IS THE ANSWER

Answers

Answer:

70% is the correct answer

Step-by-step explanation:

Answer:

70% is correct

1 1/2 divided 3/5 i am stuck on this question

Answers

Answer:

2.5

Step-by-step explanation:

Answer:

2.5 as decimal 5/2 as a fraction

Step-by-step explanation:

Helpppppppppppppppppppppppppp

Answers

The answer is y=-4x+21

Well, you can do this by first putting the numbers into point-slope form. That will be y-21=-4(x-0)

Then, you can simplify by doing the distributive property.

Lastly, add 21 on both sides to get the slope-intercept form.
y-21=-4x+0
+21 +21

y=-4x+21

Hope this helps!✨❤️

Help a brotha out........

Answers

Answer:

it's flipped I guess ‍♀️

Answer:

6/12 = 1/2

12/6 = 2

you get different answers when the numerator & denominator are flipped

select the factored form of this expression if it cannot be factored select already factored 2x-4
(A) already in factored form
(B) 2(x^2-2)
(C) (2x-2)(2x+2)
(D) 2x(x-2)

Answers

Answer:

c

Step-by-step explanation:

Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.6 years with a standard deviation of 0.9 years. If a sampling distribution is created using samples of the ages at which 49 children begin reading. What would be the mean of the sampling distribution?

Answers

Answer:

The value is [tex]\mu_{x} = 5.6 \ years[/tex]

Step-by-step explanation:

From the question we are told that

   The population mean is  [tex]\mu = 5.6 \ years[/tex]

    The standard deviation is  [tex]\sigma = 0.9 \ years[/tex]

    The sample size is  n  =  49  

Generally given that the sample size is large enough, the  sampling distribution created using the samples of the ages at which 49 children begin reading is equal to the population mean

i.e

     [tex]\mu_{x} = \mu[/tex]

=>  [tex]\mu_{x} = 5.6 \ years[/tex]

Deonna is arranging pictures of her trip to Jamaica into a photo album. Twenty percent of her photos are just of her. If Deonna took 200 photos, then how many photos are there of just her in the picture?​

Answers

Answer:

I think it is 10% but I may be wrong hope this kinda helped

Step-by-step explanation:


You buy 6 items for $25,60. About how much did you spend?

Answers

Answer:

153.6

Step-by-step explanation:

Answer:

153.60

Step-by-step explanation:

6×25.60=153.60

PLEASE!!!! I NEED HELP!!! 50 POINTS!!!
1.Mrs. Thomas is designing a rectangular pool for her backyard. The width of the pool is 71/2 feet shorter than twice its length. The perimeter of the pool is 75 feet. What is the length of the pool?

2.Callie’s dad is installing a fence in the rectangular backyard. He purchased 110 feet of fencing and plans to use all the fencing. The width of the fenced area will be 5 feet less than twice the length of the fenced area. What is the length of the fenced area?

3.A rectangular television’s length is 3 inches more than twice its width. The perimeter of the television is 144 inches. What is the width of the television?

Answers

Answer: For the first one , the answer is 15 , the equation is 75=2f+2(2f-7.5)

For the Callie question , the answer is 20 , the equation is 110=2f+2(2f-5)

The third answer is 23 and the equation is 144=2(2w+3)+2w

Step-by-step explanation:

Two natural numbers differ by 1 and add to give 35. Find the smaller number. google it and answer will come,I just need answer pls.. It is blocked on my school chromebook soo...

Answers

Answer:

17

Step-by-step explanation:

Since the numbers differ by 1, you can write the smaller number as x and the bigger one as x+1.

When you add them together you get 35: x+x+1=35

This simplifies to 2x+1=35.

When you solve you get 2x=34 so x=17.

10. If f(x) = { 2x-5 if x < 4
and f(x) {-2/3 x + 2 when x > 4 What is f(3)?
A.) 1
B.) 3
C.) -1
D.) 3
E.) None of these

Answers

B is the answer to this question

Milo pays $3 per pound for dog food at Pat’s Pet Palace. The graph below represents the cost per pound of food at Mark’s Mutt Market. At which store will Milo pay a lower price per pound for dog food?

Answers

where’s the graph ? I think you’ll need to show the graph in order for us to help you

3 3/4x1/5 in fraction

Answers

Answer:

3/4

Step-by-step explanation:

What are the intercepts of the equation? 5x + y = 30​

Answers

Answer:

Slope=−2.00010.000​=−5.000

x−intercept=530​=6

y−intercept=130​=30.00000

Step-by-step explanation:

Tnak you guys for giving me brainliest i really appreciate it. THANK U ALL!!!!!!! :D

Answers

Answer:

no problem

Step-by-step explanation:

HELP ASAP 30 POINTS

Im getting a bit desperate now so i raised the price. please answer this:
Suppose there is a 1.9°F drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 54.7°F​, what will be the temperature when the plane reaches an altitude of 4,000 ft​?

Answers

4000/1000 = 4

There are 4 drops in temperature.

1.9 x 4 = 7.6 total temperature drop.

54.7 - 7.6 = 47.1 F temperature

1.9 x 4 = 7.6 total temperature drop.

54.7 - 7.6 = 47.1 F temperature

-w/20=-2.5 help please its due today

Answers

Answer:

w = 50

Step-by-step explanation:

−w /20  = −2.5

Step 1: Simplify both sides of the equation.

−1 /20 w = −2.5

Step 2: Multiply both sides by 20/(-1).

( 20/ −1 ) * ( −1/ 20 w) = ( 20 /-1 ) * (−2.5)

w = 50

is 4kg greater than 4000g

Answers

Answer:

Nope they are the exact same

They are identical masses

{17}{15}={10}{2x-2} x =

Answers

Answer: 12.85

Step-by-step explanation: If you start off by multiplying them then. You'd get 225=20x-2. So from there you subtract the 2, to isolate the 20x. Then divide bother sides by 20 to get 12.85.

Answer:

The answer is 5.4

Step-by-step explanation:

{17}{15}={10}{2x-2} x =92/17

92/17 rounded to the nearest tenth is 5.4117...

5.4

im late to answer this question but to help people in the future with this same question... here you go x)

Which equation represents a line that passes through the two points in the
table?

Answers

Answer:

C

Step-by-step explanation:

use the points to find the slope (y-y1/x-x1) 3-5/3-6 = 2/3

the answers are all in point slope form so the slope is 2/3 and the point represented is 3,3

Answer: It’s A. Just did it

Step-by-step explanation:

Can anyone tell me whats the answer to this?​

Answers

Answer:

Both triangles are congruent so it's 55 mi

Step-by-step explanation:

Ricky walked a total of 4 3/4

miles on the school track. He stopped every 1/4

mile to rest.

Rick stopped ​
times to rest. Round your answer to the nearest whole number, if necessary.

Answers

Answer:

19

Step-by-step explanation:

Is he stop every 1/4 mile you get 19

There are 4 1/4 miles in every mile. 4x4(Equation of total 1/4th's in 4 miles) is 16. Add 3 more 1/4th's to get 19

Hope this helps!

Total number of rest is 19 times

Fraction based problem:

Given that;

Distance walked by Ricky = 4³/₄ miles = 19 / 4 miles

rest on every mile = 1/4 miles

Find:

Total number of rest

Computation:

Total number of rest = Distance walked by Ricky ÷ Rest on every mile

Total number of rest = [19 / 4] ÷ [1 / 4]

Total number of rest = 19 times

Find out more information about 'Distance'.

https://brainly.com/question/26711747?referrer=searchResults

Rachel ate 1/8 of the pepperoni pizza and 1/4 of the cheese pizza. How much of a pizza did she eat?

Answers

Answer:

3/8

Step-by-step explanation:

1/4 = 2/8

1/8 + 2/8 = 3/8

Rachel ate 3/8 of the pizza in total from pepperoni pizza and cheese pizza.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Rachel ate 1/8 of the pepperoni pizza and 1/4 of the cheese pizza.

The total pizza eaten will be calculated as,

1/4 = 2/8

1/8 + 2/8 = 3/8

Hence, Rachel ate 3/8 of the pizza in total from pepperoni pizza and cheese pizza.

To know more about an expression follow

https://brainly.com/question/14075635

#SPJ2

which ONE DOES NOT BELONG? 5231+4331=9462 or 3696+6936=10 635 or 1842+1614=3456 or 2184+4182=6996

Answers

Answer:

5231+4331=946 doesn't belong

Step-by-step explanation:

5231+4331=9562

1.43 x 10 to the 9 power

Answers

Answer:

25004854810.8

Step-by-step explanation:

You multiply 1.43 by 10 to get 14.3. Then you multiply 14.3 by itself 9 times. Hope this helps!

125 i googled it so if you need to show your work then uh

A recipe has a ratio of 2 cups of dark soy sauce to 3 cups of light soy sauce. How many cups
of dark soy sauce are there for each cup of light soy sauce?

Answers

Answer:

2/3 cup

Step-by-step explanation:

2:3

2/3:1

2/3=0/66 repeating

simplified to a fraction its 2/3

The temperature dropped 12 degrees in 3 hours.How many degrees dropped per hour?

Answers

Answer:

4 degrees

Step-by-step explanation: First find the unit rate by dividing 12/3=4  so the temperature drop 4 degrees every hour

Other Questions
Let's assume that in a hypothetical economy currency in circulation is $600 billion, the amount of checkable deposits is $900 billion, excess reserves are $15 billion and required reserve ratio is 10%. a. Calculate money supply, currency to deposit ratio, excess reserve ratio and money multiplier. b. Suppose Fed conducts very large open market purchase of $1400 billion due to a sharp recession. Assuming the ratios hold, what will be the effect on money supply? c. Now suppose the Fed conducts the same open market purchase as in part (b) except banks choose to hold all the proceeds as excess reserves. Assuming currency to deposit and required reserve ratios stay the same, what happens money multiplier and money supply? d. Can you draw parallels between part (c) and what happened during the financial crisis of 2008? what were the advantages of technology from the European age of exploration? The formula for throwing a baseball in the air is represented by the attached function, where h represents the height of the ball in inches, and t represents time. How high is the baseball after 3 and a half seconds?h(t)=-3t^2+12t+40 How Aztecs treated their conquered subjects (people/citizens)?1.treated them inhumanly2.helped them improve their social conditions3.employed them as paid farm workers4.maintained a distance from them to avoid cultural change Why do you think The Giver asks Jonas to forgive him in chapter 15 What is the GI Bill? Why is it created? List 3 things that it provides. What impact does this have on America? Grammar Quiz 5Circle the correct word to complete each sentence:1. Rick and (I/myself) like rock music.2. Each girl brought (her/their) own essay to class.3. This is the area of the county that I am (more/most) familiar with.4. This dog is the (faster/fastest) of the three.5. Snow is (heavier/heavy) than rain.6. The pipes (busted/burst) from the cold.7. The bus (already/all ready) left us this morning.Write Correct or Incorrect for each sentence:8. 9. 10. 11. 12.Add the13. 14. 15.Jim hadnt had no money for a couple of weeks. We hadnt heard anything about the test.I wont never mad at him.He wouldnt let no one help him.I would let no one help me.correct punctuation to each sentence (periods, question marks, exclamation points):The roof is on fire ___What time can we leave ___ What a nice day this is ___Add commas, colons, semi-colons, and quotation marks in the blanks as needed:16. Wherever you go__thats where the party will be.17. We wanted some food__but the restaurant was closed.18. The dog ran home__he was late for his walk.19. I want the following items__burgers__fries__sandwiches__and chips.20. __I will be there soon_____he said. 03.01 WILL MARK BRAINLEAST What type of neighbors were the Aztec people? In 1790, approximately 100,000 white settlers lived beyond the Appalachian Mountains. By 1818, the population west of the Appalachians had climbed to two million. The growth of this region can in part be attributed to provisions in the Northwest Ordinance. How did each provision facilitate settlement of the western territory? List at least 2 ways the play is different from the original story The Necklace please help me asap How is a conductor different from an insulator?A. The free movement of electrons within a conductor permits the transfer of charge.B. The free movement of protons within a conductor permits the transfer of charge.C. There is no free movement of electrons within a conductor.D. There is no free movement of protons within a conductor. hi guys its me addison ray shawty the baddest Highlight details about Mr. Tushmans office that tell you more about what he might be like. We followed Mr. Tushman into a small room across from Mrs. Garcia's desk . . . I was looking around at all the things on his desk. Cool stuff, like a globe that floated in the air and a Rubik's-type cube made with little mirrors. I liked his office a lot. I liked that there were all these neat little drawings and paintings by students on the walls. Wonder R.J. Palacio Choose the response that best describes what the details reveal about Mr. Tushmans character. He wants students to feel comfortable when they're in his office. He like working in small spaces. He is concerned with how he looks and often checks the mirror. He wants students to feel frustrated because they can't play with the cool stuff.\ (03.01 MC)Lee la descripcin y despus escoge la opcin que contesta la pregunta. Read the description and then select the option that answers the question. Hola, amigos! Qu onda? Bienvenidos a mi pais, donde todo es muy colorado y bonito. Hasta nuestros autobuses tienen un montn de colores y siempre tienen muchas personas. Peroiten cuidado si tomas una mototaxi porque los conductores manejan como locos!What country does the narrator live in? (1 point)A. BoliviaB. GuatemalaC. EspaaD. Per Where is the function increasing? How do I make myself stop binge-eating?I know one of u knowsPlease tell me A cleaning company charged $125 to clean a 2500 square foot house. The same company charged $146 to clean a 3200 square foot house. Write an equation in slope-interceptiom to represent the total cost, y, to clean a house with x square feet. Then, find the total cost to clean a house that is 4500 square feet. A block of wood is in the shape of a rectangular prism with dimensions (n+5) cm, (n+8) cm, and (n+14) cm. All faces of the block are painted, and then the block is cut into 1 cm cubes using parallel cuts to each face. If exactly half of the cubes have no paint on them, find the total number of cubes. Which scenario is an example of demand pull inflation -2a3 - 3a2 + 4a + 6, 2a3 + 5a2 + 7 sum the expression