Let's compare the distances that each person can jump.
1. Daryl's Jump:
Daryl can jump [tex]\(2 \frac{1}{2}\)[/tex] yards, which can also be written as 2.5 yards.
2. Sarah's Jump:
Sarah can jump 8 feet. Since 1 yard is equal to 3 feet, we need to convert 8 feet into yards.
[tex]\[
\text{Sarah's jump in yards} = \frac{8 \text{ feet}}{3 \text{ feet per yard}} = \frac{8}{3} \approx 2.67 \text{ yards}
\][/tex]
3. Michelle's Jump:
Michelle can jump 72 inches. Since 1 yard is equal to 36 inches, we need to convert 72 inches into yards.
[tex]\[
\text{Michelle's jump in yards} = \frac{72 \text{ inches}}{36 \text{ inches per yard}} = 2 \text{ yards}
\][/tex]
Now let's compare the distances in yards:
- Daryl's jump: 2.5 yards
- Sarah's jump: 2.67 yards
- Michelle's jump: 2 yards
From these comparisons:
- Sarah's jump (2.67 yards) is farther than Daryl's jump (2.5 yards).
- Sarah's jump (2.67 yards) is farther than Michelle's jump (2 yards).
- Daryl's jump (2.5 yards) is farther than Michelle's jump (2 yards).
- Sarah's jump (2.67 yards) is not equal to Michelle's jump (2 yards).
Hence, the correct statement is:
A) Sarah jumps the farthest.
