Question

On a school baseball diamond, the distance from the pitcher’s mound to home plate is about 15 m . Data for the pitching speed of two pitchers was collected by finding the number of seconds it took f or four pitched balls to go from the mound to home plate. Lou’s times were 1.2 s , 2.0 s , 3.1 s , and 2.5 s . Jamie’s times were 1.7 s , 2.3 s , 3.0 s , and 2.2 s . Who was the better pitcher (had the higher average speed), and what was their average speed in m/s ?(1 point) Responses Lou, 1.7 m/s Lou, 1.7 meters per second Jamie, 1.7 m/s Jamie, 1.7 meters per second Jamie, 1.

Answer 1

To determine who was the better pitcher based on average speed, we need to calculate the average speed for each pitcher using the formula:

\[
\text{Average Speed} = \frac{\text{Distance}}{\text{Time}}
\]

The distance from the pitcher’s mound to home plate is 15 meters. We will calculate the average time taken by each pitcher and then find their average speeds.

**For Lou:**
Times: 1.2 s, 2.0 s, 3.1 s, 2.5 s

1. Calculate the average time taken by Lou:
\[
\text{Average Time} = \frac{1.2 + 2.0 + 3.1 + 2.5}{4} = \frac{8.8}{4} = 2.2 \text{ s}
\]

2. Calculate Lou's average speed:
\[
\text{Average Speed} = \frac{15 \text{ m}}{2.2 \text{ s}} \approx 6.82 \text{ m/s}
\]

**For Jamie:**
Times: 1.7 s, 2.3 s, 3.0 s, 2.2 s

1. Calculate the average time taken by Jamie:
\[
\text{Average Time} = \frac{1.7 + 2.3 + 3.0 + 2.2}{4} = \frac{9.2}{4} = 2.3 \text{ s}
\]

2. Calculate Jamie's average speed:
\[
\text{Average Speed} = \frac{15 \text{ m}}{2.3 \text{ s}} \approx 6.52 \text{ m/s}
\]

**Conclusion:**
- Lou's average speed: approximately 6.82 m/s
- Jamie's average speed: approximately 6.52 m/s

Thus, Lou was the better pitcher with an average speed of approximately 6.82 m/s.

The final answer is:
Lou, 6.82 m/s.