Question

A soccer team is collecting money to buy their coach a present. The table represents the cost per person for the gift compared to the number of people contributing. What function models the data, and how much per person will it cost if all 40 players contribute?

Number of players (n): 5, 8, 15, 20
Cost per player (c): $40, $25, $13.33, $10

A. nc=200 , $5
B. nc=400 , $10
C. n/c=100 , $5
D. n/c=200 , $20

Answer 1

nc=200,$5

Explanation:

Answer 2

Option A is correct.

nc=200 , $5

Explanation:

As per the statement:

A soccer team is collecting money to buy their coach a present.

Given table represents the cost per person for the gift compared to the number of people contributing.

Here, n represents the number of players and c represents the cost per player.

By Inverse variation:

`n \propto (1)/(c)`

then, the equation is of the form:

`nc = k`

Substitute any value from the given table we have;

n = 5 and c = $ 40

`nc = 5 * 40 = 200`

⇒
`nc = 200` .....[1]

We have to find how much per person will it cost if all 40 players contribute.

Substitute n = 40 players in [1] we have;

`40c = 200`

Divide both sides by 40 we have;

c = $ 5

Therefore, the function models the data is, nc = 200 and $5 per person will it cost if all 40 players contribute