To determine how many hours per week Hector exercises, we follow these steps:
1. Understand the total exercise time: Hector exercises a total of [tex]\( 11 \frac{1}{2} \)[/tex] hours over a period of 4 weeks. We need to convert this mixed number into an improper fraction or a decimal for easier calculations:
[tex]\[
11 \frac{1}{2} = 11 + \frac{1}{2} = 11.5 \text{ hours}
\][/tex]
2. Identify the number of weeks: The exercise period is over 4 weeks.
3. Calculate the hours Hector exercises per week: To find out how many hours per week Hector exercises, we divide the total exercise time by the number of weeks:
[tex]\[
\text{Hours per week} = \frac{11.5 \text{ hours}}{4 \text{ weeks}}
\][/tex]
4. Perform the division: Dividing 11.5 by 4 gives us:
[tex]\[
\frac{11.5}{4} = 2.875 \text{ hours per week}
\][/tex]
So, Hector exercises [tex]\( 2.875 \)[/tex] hours per week.
