Question 27 Answer and Explanation _ACT 2009 Asia Form 62D Math Section

Use the following information to answer questions 25-27.

Two friends,Chris and Pat, joined a new 14-week program to lose weight through dieting and exercise. Chris set a goal to lose 10 pounds every 4 weeks, for a total of 35 pounds, while Pat's goal was to lose 7 pounds every 4 weeks, for a total of 24.5 pounds. Chris began the program weighing 200 pounds, and Pat began the program weighing 187.5 pounds.

27. Suppose that Pat loses 1.75 pounds each week. At the end of week K, where k = 1, 2, ... , 14, he calculates 1.75 pounds as a percent of his body weight and records the percent as P(k). Which of the following best describes the values of P(k)?

A. They increase as k increases from 1 to 14.

B. They decrease as k increases from 1 to 14.

C. They increase as k increases from 1 to 7 and decrease as k increases from 7 to 14.

D. They decrease as k increases from 1 to 7 and increase as k increases from 7 to 14.

E. They are constant as k increases from 1 to 14.

Answer and Explanation

Your Answer is

Correct Answer is A

Explanation

The percentage of 1.75 will increase as k increases due to the reduced weight base. Choose A.