Question

The graph of the function P(x) = −0.34x2 + 12x + 62 is shown. The function models the profits, P, in thousands of dollars for a tire company, where x is the number of tires produced, in thousands: If the company wants to keep its profits at or above $75,000, then which constraint is reasonable for the model? −4.57 ≤ x ≤ 39.87 1.12 ≤ x ≤ 34.18 −4.57 ≤ x ≤ 1.12 and 34.18 ≤ x ≤ 39.87 0 ≤ x < 1.12 and 34.18 < x ≤ 39.87

Answer 1

Answer: 1.119<x<34.175

Explanation:

In the graph, X= the number of tires produced, in thousands. C(x)= the production cost, in thousands of dollars. 0,1.12 < 1.12 and C(x) < 75. So that means the production cost is under $75,000. For the interval ( 34.18,39.87) = 34.18 < x < 39.87 and the value of C(x) < 75 and the production cost is under $75,000. The Answer= x < x < 1.12 and 34.18 < x < 39.87.