Question

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=20x^2+160, where x is the number of hours spent repairing bikes. After how many hours does the company break even?

Answer 1

Explanation:

Break even occurs when the two equations are equal

400 + 220 x = 20x^2 + 160

20x^2 -220 x - 240 = 0 Use quadratic fromula ( or graphing or factoring) to find x = 12 hours