Question

The graph of the function C(x) = −0.74x2 + 22x + 75 is shown. The function models the production cost, C, in thousands of dollars for a tech company to manufacture a calculator, where x is the number of calculators produced, in thousands:

Answer 1

ANSWER:

2nd option: 0 ≤ x < 5.6 and 24.13 < x ≤ 32.82

STEP-BY-STEP EXPLANATION:

We need to determine the range of values of x for costs to be less than $175,000.

In points 5.6 and 24.13, the cost is exactly $175,000, which means that the solution interval cannot include these values.

So the correct answer is:

2nd option: 0 ≤ x < 5.6 and 24.13 < x ≤ 32.82