The amount of money raised at a charity fundraiser is directly proportional to the number of attendees. The amount of money raised for five attendees was $100. Write a direct variation equation for the amount raised at the charity event. b. What is the constant of variation? c. How much money will be raised for 60 attendees? Show all your work will reward brainliest.

Question

Mathematics

Villa

14 July, 02:42

The amount of money raised at a charity fundraiser is directly proportional to the number of attendees. The amount of money raised for five attendees was $100. Write a direct variation equation for the amount raised at the charity event. b. What is the constant of variation? c. How much money will be raised for 60 attendees? Show all your work will reward brainliest.

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Answers (1)

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Harold Harrington · Answer 1

a. M=20A

b. k=20

c. $1200

Step-by-step explanation:

Direct proportions

Two variables are proportional if one of them is the other by a real number. That real number is called the Constant of proportionality. If x and y are proportional, then

y=kx, where k is the constant of proportionality.

The question describes the relationship between the amount of money raised at a charity fundraiser and the number of attendees. If they have five attendees, they raise $100

a.

Let's call A the number of attendees and M the amount of money raised, and

M=kA

We know that M=100 when A=5, so

100=k (5)

This means that

k=20

The equation for the amount raised at the charity event is

M=20A

b.

The constant of variation is k=20

c. If there are 60 attendees (A=60), then

M = (20) (60) = $1200