Mathematics > Standard Multiple Choice
Read the following SAT test question and then click on a button to select your answer.
A manager estimates that if the company charges dollars for their new product, where , then the revenue from the product will be dollars each week. According to this model, for which of the following values of would the company’s weekly revenue for the product be the greatest?
(A) 10
(B) 20
(C) 50
(D) 100
(E) 200
The Correct answer is D.
Explanation
The graph of is a downward-facing parabola that intersects the -axis at and at . Parabolas are symmetric, so the maximum value of occurs at , which is halfway between and . (When , the value of is .)