Question

Quick Fix Inc. repairs bikes. Their revenue, in dollars, can be modeled by the equation y = 400 + 220x, where x is the number of hours spent repairing bikes. Their overhead cost, in dollars, can be modeled by the equation y=20x2+160 , where x is the number of hours spent repairing bikes.

After how many hours does the company break even?

Note: The phrase break even refers to the value where the two functions are equivalent.

Enter your answer in the box.

h

Answer 1

12 hours

Explanation:

Answer 2

The break even point is that where the total cost is equal to the total revenue. To determine the number of hours in which Quick Fix Inc. will have a breakeven, we have to equate the two equations and solve for the value of x,
400 + 220 x = 20x² + 160
The values of x from the equation are 12 and -1. Since, we do not have a negative for the number of hours, our answer is 12 hours.