Question
Larry can shoot 4 free throws in 3 minutes. How many can he make in 6 and 12 minutes
Answers
GPT-4o mini
To find out how many free throws Larry can make in 6 minutes and 12 minutes, we first determine his shooting rate.
Larry can make 4 free throws in 3 minutes. To find the rate per minute:
\[
\text{Rate} = \frac{4 \text{ free throws}}{3 \text{ minutes}} = \frac{4}{3} \text{ free throws per minute}
\]
Now we can calculate how many free throws he makes in 6 minutes and in 12 minutes.
1. **In 6 minutes:**
\[
\text{Free throws in 6 minutes} = \text{Rate} \times 6 = \frac{4}{3} \text{ free throws per minute} \times 6 \text{ minutes} = \frac{4 \times 6}{3} = \frac{24}{3} = 8 \text{ free throws}
\]
2. **In 12 minutes:**
\[
\text{Free throws in 12 minutes} = \text{Rate} \times 12 = \frac{4}{3} \text{ free throws per minute} \times 12 \text{ minutes} = \frac{4 \times 12}{3} = \frac{48}{3} = 16 \text{ free throws}
\]
Therefore, Larry can make **8 free throws in 6 minutes** and **16 free throws in 12 minutes**.
Larry can make 4 free throws in 3 minutes. To find the rate per minute:
\[
\text{Rate} = \frac{4 \text{ free throws}}{3 \text{ minutes}} = \frac{4}{3} \text{ free throws per minute}
\]
Now we can calculate how many free throws he makes in 6 minutes and in 12 minutes.
1. **In 6 minutes:**
\[
\text{Free throws in 6 minutes} = \text{Rate} \times 6 = \frac{4}{3} \text{ free throws per minute} \times 6 \text{ minutes} = \frac{4 \times 6}{3} = \frac{24}{3} = 8 \text{ free throws}
\]
2. **In 12 minutes:**
\[
\text{Free throws in 12 minutes} = \text{Rate} \times 12 = \frac{4}{3} \text{ free throws per minute} \times 12 \text{ minutes} = \frac{4 \times 12}{3} = \frac{48}{3} = 16 \text{ free throws}
\]
Therefore, Larry can make **8 free throws in 6 minutes** and **16 free throws in 12 minutes**.