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

Answer :

To find out how many hours per week Hector exercises, we need to follow these steps:

1. Determine Total Hours Exercised: Hector exercises for a total of [tex]\( 11 \frac{1}{2} \)[/tex] hours over a 4-week period. In decimal form, this is 11.5 hours.

2. Calculate Average Hours per Week: To find out how many hours Hector exercises each week, we need to divide the total hours he exercised by the number of weeks.

[tex]\[
\text{Average hours per week} = \frac{\text{Total hours exercised}}{\text{Number of weeks}} = \frac{11.5}{4}
\][/tex]

3. Perform the Division: Dividing 11.5 by 4 gives us 2.875.

So, Hector exercises [tex]\( 2.875 \)[/tex] hours per week. This means he exercises slightly more than the 2.5 hours per week suggested by the fitness challenge.