butterflymanster05
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guys this makes no sense someone help!! 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.
a. Write a direct variation equation for the amount raised at the charity event. (5 points)
b. What is the constant of variation?(5 points)
c. How much money will be raised for 60 attendess?(5 points)
(Score for Question 2: ___ of 5 points)
2. Write in complete sentences how to tell the difference between a proportional relationship and a non

Respuesta :

musiclover10045

A)

The formula for direct variation is written as Y = kx, where k is the proportion you need to solve for.

Y would be the amount raised and X would be the number of attendees:

100 = k5

Divide both sides by 5:

k = 100/5

k = 20

B. the constant of variation is the value of k above which is 20

C) Using the formula from A: y = kx, replace k with 20 and x with 60 and solve for y:

y = 20 * 60

y = 1200

They will raise $1,200

2. If the relationship is proportional the ratio would be a constant number. If the relationship is non proportional the ratio would vary between the different values.

fichoh

Using the principle of direct variation, the variation expression which models the relationship is

  • A = 20n

  • Number of attendees = n
  • Amount raised = A

The relationship :

A α n

A = kn

100 = 5k

k = 100/5

k = 20

Hence, the variation expression becomes ;

  • A = 20n

For 60 attendees :

A = 20(60)

A = 1200

Hence, if 60 people attended, then there would be $1200 raised.

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