Question

A theater group is having a carwash fundraiser. The group can only spend $34 on soap, which is enough to wash 40 cars. Each car is charged $5. If c represents the total number of cars washed and p represents the profit, Which equation shows the relationship between c and p?

A.) P(c)=5c+34

B.) P(c)=34c+5

C.) P(c)=5c-34

D.) P(c)=5c

Answer 1

If we let c as the number of cars, then the revenue is represented by:
5c
and if the cost of the soap is fixed, then the fixed cost is only
34

The formula for profit is this:
Profit = Revenue - (Variable Cost + Fixed Cost)

Since there is no variable cost, we only have:
P = 5c - 34

Therefore, the answer is C.