High School

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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?

[tex]?[/tex] hour(s) per week

Answer :

Sure! Let's figure out how many hours per week Hector exercises.

1. Total Exercise Hours: We know that Hector exercises for a total of [tex]\(11 \frac{1}{2}\)[/tex] hours over a 4-week period. To work with this value more easily, we can convert it into a decimal. [tex]\(11 \frac{1}{2}\)[/tex] is equal to 11.5 hours.

2. Number of Weeks: The total period we are considering is 4 weeks.

3. Calculate Average Hours per Week: To find out how many hours Hector exercises each week, we need to 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: When you perform the division, you get:

[tex]\[
11.5 \div 4 = 2.875
\][/tex]

So, Hector exercises approximately 2.875 hours per week.

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