【SAT每日一题】2013年5月31日SAT官方每日一题

2013-06-01 09:30:00 来源: SAT 责编：楷维留学指南

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Read the following SAT test question and then click on a button to select your answer.

The stopping distance of a car is the number of feet that the car travels after the driver starts applying the brakes. The stopping distance of a certain car is directly proportional to the square of the speed of the car, in miles per hour, at the time the brakes are first applied. If the car’s stopping distance for an initial speed of miles per hour is feet, what is its stopping distance for an initial speed of miles per hour?

A. feet

B. feet

C. feet

D. feet

E. feet

正确答案:D

解析:

The stopping distance is directly proportional to the square of the initial speed of the car. If represents the initial speed of the car, in miles per hour, and represents the stopping distance, you have that the stopping distance is a function of and that function d of s = c times (s^2) , where is a constant. Since the car’s stopping distance is feet for an initial speed of miles per hour, you know that 17 = c times 20^2 .Therefore, c = 17 over 20^2 = 0.0425 , and the car's stopping distance for an initial speed of miles per hour is 0.0425 times 40^2 = 68 feet.