Answer :
Sure, let's solve the problem step-by-step.
Hector's school encourages students to exercise at least [tex]\(2 \frac{1}{2}\)[/tex] hours per week. Hector wants to know how his exercise rate compares.
First, let's see how many hours Hector exercises in total over the 4-week period:
- Hector exercises [tex]\( 11 \frac{1}{2} \)[/tex] hours in 4 weeks.
Now, let's find out how many hours Hector exercises per week. To do this, we divide the total hours by the number of weeks:
- Total hours exercised = [tex]\( 11 \frac{1}{2} \)[/tex] hours
- Number of weeks = 4
Convert [tex]\( 11 \frac{1}{2} \)[/tex] to a decimal:
[tex]\[ 11 \frac{1}{2} = 11 + 0.5 = 11.5 \][/tex] hours
Now, we divide the total hours by the number of weeks to find the average hours per week:
[tex]\[ \text{Average hours per week} = \frac{11.5 \text{ hours}}{4 \text{ weeks}} \][/tex]
Perform the division:
[tex]\[ \frac{11.5}{4} = 2.875 \][/tex]
So, Hector exercises [tex]\( 2.875 \)[/tex] hours per week.
Therefore, Hector exercises approximately [tex]\( 2.875 \)[/tex] hours per week.
Hector's school encourages students to exercise at least [tex]\(2 \frac{1}{2}\)[/tex] hours per week. Hector wants to know how his exercise rate compares.
First, let's see how many hours Hector exercises in total over the 4-week period:
- Hector exercises [tex]\( 11 \frac{1}{2} \)[/tex] hours in 4 weeks.
Now, let's find out how many hours Hector exercises per week. To do this, we divide the total hours by the number of weeks:
- Total hours exercised = [tex]\( 11 \frac{1}{2} \)[/tex] hours
- Number of weeks = 4
Convert [tex]\( 11 \frac{1}{2} \)[/tex] to a decimal:
[tex]\[ 11 \frac{1}{2} = 11 + 0.5 = 11.5 \][/tex] hours
Now, we divide the total hours by the number of weeks to find the average hours per week:
[tex]\[ \text{Average hours per week} = \frac{11.5 \text{ hours}}{4 \text{ weeks}} \][/tex]
Perform the division:
[tex]\[ \frac{11.5}{4} = 2.875 \][/tex]
So, Hector exercises [tex]\( 2.875 \)[/tex] hours per week.
Therefore, Hector exercises approximately [tex]\( 2.875 \)[/tex] hours per week.