PSAT Math Grid-Ins Question 1: Answer and Explanation

Question: 1

A fitness tracking watch collects data on how many miles a user walks per day. The data is collected from 12:00 A.M. each morning until 12:00 A.M. the following day, and resets each day at midnight. After one month of use, Debbie reviews her data in the fitness tracker. She discovers that her average daily miles walked are equal to one-hundredth of the square of the number of hours in one day. How many miles does Debbie walk in one day, on average, rounded to the nearest mile?

Correct Answer: 6

Explanation:

6

The question asks how many miles Debbie walks in one day. Translate the English into math, and solve to find Debbie's average daily miles. Her average daily miles (m) equal one-hundredth of the square of the number of hours in one day (24). In equation form, . Solve for m to find m = 5.76. Round to the nearest mile to get 6 miles. The correct answer is 6.

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