### Home > CC4 > Chapter 10 > Lesson 10.1.1 > Problem 10-12

10-12.

Write and solve an absolute value inequality for this situation. Homework Help ✎

The accuracy of a certain stopwatch varies by 5%, meaning that the time it shows may be off as much as 5% from the actual time. If the stopwatch shows a time of 3:26 (3 minutes, 26 seconds) for an athlete’s 800m run, then *x* is the actual time and 0.05*x* is the potential amount of error. Use this information to write your equation and determine the range of possible times that the run may actually have taken.

Convert the minutes-seconds into just seconds.

The range of possible times is 196.19 seconds to 216.84 seconds.

Which is 3:16.2 to 3:36.8.