To find out how high Tyrone's basketball is likely to bounce, we can analyze the relationship between the drop heights and the bounce heights for Maria and Jose's basketballs.
Here are the measurements provided:
-
Maria:
- Drop Height: 14 feet
- Bounce Height: 11 feet
- Bounce height ratio: \( \frac{11}{14} \approx 0.7857 \)
-
Jose:
- Drop Height: 5 feet
- Bounce Height: 3 feet
- Bounce height ratio: \( \frac{3}{5} = 0.6 \)
Now, we will determine the average ratio of bounce height to drop height based on Maria and Jose's data:
Average ratio = \( \frac{(0.7857 + 0.6)}{2} \approx 0.69285 \)
Now we can apply this average ratio to Tyrone's drop height to estimate his bounce height.
- Tyrone's Drop Height: 9 feet
- Estimated Bounce Height: \( 9 \times 0.69285 \approx 6.236 \text{ feet} \)
Even though this is around 6.24 feet, since we must choose from the provided answers, we look for the closest option among the choices given. The options are:
- 3 feet
- 10 feet
- 2 feet
- 7 feet
Since 6.24 feet is closest to 7 feet, we can conclude that Tyrone's basketball is likely to bounce about 7 feet after being dropped.
Final Answer: 7 feet