Answer :
To find out how many hours per week Hector exercises, we need to determine his average weekly exercise time over the 4-week period.
Here’s how we can achieve this:
1. Total Exercise Time Over 4 Weeks:
Hector exercises a total of [tex]\( 11 \frac{1}{2} \)[/tex] hours over the 4-week period. In decimal form, [tex]\( 11 \frac{1}{2} \)[/tex] hours is equivalent to 11.5 hours.
2. Number of Weeks:
We know this period covers 4 weeks.
3. Calculate Average Exercise Time Per Week:
To find the average number of hours Hector exercises each week, we divide the total exercise time by the number of weeks:
[tex]\[
\text{Hours per week} = \frac{11.5 \text{ hours}}{4 \text{ weeks}} = 2.875 \text{ hours/week}
\][/tex]
Thus, Hector exercises about 2.875 hours each week. This means he exceeds the minimum fitness challenge goal of [tex]\(2 \frac{1}{2}\)[/tex] hours, or 2.5 hours, per week.
Here’s how we can achieve this:
1. Total Exercise Time Over 4 Weeks:
Hector exercises a total of [tex]\( 11 \frac{1}{2} \)[/tex] hours over the 4-week period. In decimal form, [tex]\( 11 \frac{1}{2} \)[/tex] hours is equivalent to 11.5 hours.
2. Number of Weeks:
We know this period covers 4 weeks.
3. Calculate Average Exercise Time Per Week:
To find the average number of hours Hector exercises each week, we divide the total exercise time by the number of weeks:
[tex]\[
\text{Hours per week} = \frac{11.5 \text{ hours}}{4 \text{ weeks}} = 2.875 \text{ hours/week}
\][/tex]
Thus, Hector exercises about 2.875 hours each week. This means he exceeds the minimum fitness challenge goal of [tex]\(2 \frac{1}{2}\)[/tex] hours, or 2.5 hours, per week.
