A theater group is having a car wash fundraiser. The group can only spend $34 on soap, which is just enought to wash 44 cars. Each care us charged $5. If C is the total number of cars washed and p is the profit, write an equation that shows the relationship
The total cost of soap for the car wash fundraiser is $34, and this amount is enough to wash 44 cars. Let's denote the total number of cars washed as C.
Since each car is charged $5, the total profit made from washing C cars is 5C.
The equation that shows the relationship between the number of cars washed and the profit is:
Profit (p) = Total Cars (C) * Cost per Car ($5)
p = 5C
However, since the group needs to pay for the soap, the equation needs to be adjusted by subtracting the cost of soap. Hence, the modified equation is:
Profit (p) = Total Cars (C) * Cost per Car ($5) - Cost of Soap ($34)
p = 5C - 34