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Linear functions SAT question
Math · Algebra · Medium · Answer it here, explanation included.
A company’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.)
Enter a number or fraction (like 3/17 or 0.176). Press Enter to check.
ExplanationShow
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.
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