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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:

7.jpgIf the company wants to keep its production costs under $175,000, then which constraint is reasonable for the model?

 −3.09 ≤ x ≤ 5.6 and 24.13 < x ≤ 32.82

 0 ≤ x < 5.6 and 24.13 < x ≤ 32.82

 −3.09 ≤ x ≤ 32.82

 5.6 ≤ x ≤ 24.13

7.jpg

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