A company’s total cost , in dollars, to produce x shirts is given by the function above, where m is

Question

A company&rsquo;s total cost , in dollars, to produce x shirts is given by the function above, where m is a constant and . The total cost to produce 100 shirts is $800. What is the total cost, in dollars, to produce 1000 shirts? (Disregard the $ sign when gridding your answer.)

Accepted Answer

The correct answer is 3500. The given information includes a cost, $800, to produce 100 shirts. Substituting and into the given equation yields . Subtracting 500 from both sides of the equation yields . Dividing both sides of this equation by 100 yields . Substituting the value of m into the given equation yields . Substituting 1000 for x in this equation and solving for gives the cost of 1000 shirts: , or 3500.

Question a-comp