【SAT每日一题】2013年4月16日SAT考试官方每日一题

2013-04-16 17:40:00 来源: SAT 责编：楷维留学指南

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考试类型: 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 0 less than or equal to p less than or equal to 200 , then the revenue from the product will be function r of p = 2000 times p minus (10 times p^2) 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?

D. 100

E. 200

正确答案:D

解析:

The graph of function r of (p) = 2000 times p minus (10 times p^2) is a downward-facing parabola that intersects the -axis at and at 200 . Parabolas are symmetric, so the maximum value of occurs at 100 , which is halfway between and 200 . (When p equals 100 , the value of is function r of 100 equals (2000 times (100)) minus (10 times (100^2)) equals 100000 .)