College

Hector's school is holding a fitness challenge. Students are encouraged to exercise at least [tex]2 \frac{1}{2}[/tex] hours per week. Hector exercises about the same number of hours each week. During a 4-week period, he exercises for [tex]11 \frac{1}{2}[/tex] hours. Hector wants to compare his exercise rate with the fitness challenge rate.

How many hours per week does Hector exercise?

______ hour(s) per week

Answer :

To find out how many hours per week Hector exercises, we need to use the information given about his total exercise time over a 4-week period.

1. Total Hours Exercised: Hector exercised for [tex]\(11 \frac{1}{2}\)[/tex] hours over the course of 4 weeks. In decimal form, this is written as 11.5 hours.

2. Number of Weeks: The number of weeks over which Hector exercised is 4.

3. Calculate the Weekly Exercise Rate: To find out how many hours Hector exercises per week, divide the total number of hours he exercised by the number of weeks:

[tex]\[
\text{Hours per week} = \frac{11.5 \text{ hours}}{4 \text{ weeks}} = 2.875 \text{ hours per week}
\][/tex]

So, Hector exercises approximately 2.875 hours per week. This can be compared with the fitness challenge recommendation of at least [tex]\(2 \frac{1}{2}\)[/tex] hours per week. Hector is exceeding the challenge's minimum requirement.