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

Question

Mathematics

Proctor

26 June, 18:42

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

+1

Answers (1)

Know the Answer?

Slade · 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.