High School

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?

[tex]\square[/tex] hour(s) per week

Answer :

To find out how many hours per week Hector exercises, we need to consider the total amount of time he spends exercising and the period over which this exercise occurs. Here’s a step-by-step breakdown:

1. Total Exercise Time:
- Hector exercises for [tex]\( 11 \frac{1}{2} \)[/tex] hours over a 4-week period. This can be written as 11.5 hours in decimal form.

2. Number of Weeks:
- The total period for this exercise is 4 weeks.

3. Calculate Weekly Exercise Time:
- To find the average number of hours Hector exercises per week, we divide the total exercise hours by the number of weeks:
[tex]\[
\text{Hours per week} = \frac{11.5 \text{ hours}}{4 \text{ weeks}}
\][/tex]

4. Result:
- Dividing 11.5 by 4 gives us 2.875 hours per week.

Therefore, Hector exercises approximately 2.875 hours each week. This means he exercises slightly more than the challenge's recommended [tex]\( 2 \frac{1}{2} \)[/tex] hours (or 2.5 hours) per week.