Solve the problem.
-Greg is opening a car wash. He estimates his cost equation as C = 9000 + 0.09x and his revenue equation as R = 1.75x, where x is the number of cars washed in a six-month period. Find the number of cars that must
Be washed in a six-month period for Greg to make a profit.
A)At least 5422 cars
B)At least 543 cars
C)At least 54,217 cars
D)At least 4422 cars

Question

Quizplus · Accepted Answer

To make a profit, revenue must be greater than cost. So, we solve the inequality 1.75x > 9000 + 0.09x. Subtracting 0.09x from both sides, we get 1.66x > 9000. Dividing both sides by 1.66, we get x > 5421.74. Since x must be a whole number, the least number of cars that must be washed is 5422.

Solve the Problem. -Greg Is Opening a Car Wash. He Estimates His Cost