Answer:
Option A is correct.
nc=200 , $5
Step-by-step 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:
[tex]n \propto \frac{1}{c}[/tex]
then, the equation is of the form:
[tex]nc = k[/tex]
Substitute any value from the given table we have;
n = 5 and c = $ 40
[tex]nc = 5 \times 40 = 200[/tex]
⇒[tex]nc = 200[/tex] .....[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;
[tex]40c = 200[/tex]
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
