Question

Stephanie rode in a bike race at an average speed of 10 miles per hour. She planned to take her first break before she reached the 65-mile point on the race. Which inequality models how many hours Stephanie rode before she took her first break?

a) 65 ≤ 10t
b) 10t ≥ 65
c) 10t < 65
d) 10t > 65

Answer 1

The inequality that models how many hours Stephanie rode before taking her first break is c) 10t < 65, as it represents that she will take a break before reaching 65 miles, with her speed being 10 mph.

Step-by-step explanation:

Stephanie rode in a bike race at an average speed of 10 miles per hour and planned to take her first break before she reached the 65-mile point on the race.

The inequality that models how many hours Stephanie rode before she took her first break is given by the relationship between distance, speed, and time, which is distance = speed × time. To find the maximum time she rode before taking a break, we use the inequality 10t < 65, where t represents the time in hours.

This is because Stephanie plans to stop before she reaches 65 miles, so she would have covered less than 65 miles in her riding time. Therefore, the correct answer is c) 10t < 65.