PSAT Math Multiple-Choice Question 757: Answer and Explanation

Question: 757

A pretzel stand has fixed costs for the facility and cooking supplies of $500. The cost for the labor and supplies to cook one pretzel after the pretzel stand has been set up is $2 per pretzel. What is the graph of the cost function c(x) given x pretzels?

• A.
• B.
• C.
• D.

Correct Answer: C

Explanation:

(C) The fixed costs for the pretzel stand are $500, and the variable costs are $2 per pretzel. So the cost function c(x) given x pretzels is c(x) = 2x + 500. The graph of this function has a y-intercept of 500 and a slope of 2: