Question #4fe4fd7c - SAT Suite Question Bank

ID: 4fe4fd7c

Modded SAT Question Bank by Abdullah Mallik

$c of x equals, m x plus 500$

A company’s total cost $c of x$ , in dollars, to produce x shirts is given by the function above, where m is a constant and $x is greater than 0$ . 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.)

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Correct Answer:

Rationale

The correct answer is 3500. The given information includes a cost, $800, to produce 100 shirts. Substituting $c of x equals 800$ and $x equals 100$ into the given equation yields $800 equals, m times 100, plus 500$ . Subtracting 500 from both sides of the equation yields $300 equals, m times 100$ . Dividing both sides of this equation by 100 yields $3 equals m$ . Substituting the value of m into the given equation yields $c of x equals, 3 x plus 500$ . Substituting 1000 for x in this equation and solving for $c of x$ gives the cost of 1000 shirts: $3 times 1000, plus 500$ , or 3500.

Question Difficulty: Medium