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 for 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

Jamie, 6.79 m/s
Jamie, 6.79 meters per second

Jamie, 7.71 m/s
Jamie, 7.71 meters per second

Lou, 8.2 m/s
Lou, 8.2 meters per second

Lou, 7.71 m/s

1 answer

To find out who was the better pitcher, we need to calculate the average speed for each pitcher based on their times.

Step 1: Calculate the average time for each pitcher.

Lou's times:

  • 1.2 s
  • 2.0 s
  • 3.1 s
  • 2.5 s

Average time for Lou: \[ \text{Average time} = \frac{1.2 + 2.0 + 3.1 + 2.5}{4} = \frac{8.8}{4} = 2.2 , \text{s} \]

Jamie’s times:

  • 1.7 s
  • 2.3 s
  • 3.0 s
  • 2.2 s

Average time for Jamie: \[ \text{Average time} = \frac{1.7 + 2.3 + 3.0 + 2.2}{4} = \frac{9.2}{4} = 2.3 , \text{s} \]

Step 2: Calculate the average speed for each pitcher.

Average speed is calculated using the formula: \[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \] where the distance from the pitcher’s mound to home plate is 15 m.

Lou's average speed: \[ \text{Speed}_\text{Lou} = \frac{15 , \text{m}}{2.2 , \text{s}} \approx 6.82 , \text{m/s} \]

Jamie's average speed: \[ \text{Speed}_\text{Jamie} = \frac{15 , \text{m}}{2.3 , \text{s}} \approx 6.52 , \text{m/s} \]

Conclusion: Lou has a higher average speed of approximately 6.82 m/s, while Jamie has an average speed of about 6.52 m/s. Therefore, Lou is the better pitcher based on speed.

However, since that is not one of your options, it seems there was a miscalculation as we did not find options that match with direct calculations.

Given that among the options Jamie's 6.79 m/s seems to be the closest estimation, we conclude:

  • Lou, 6.82 m/s is accurate based on calculations but isn't listed.

None of the mentioned responses were correct based on our calculations because Lou's average speed is higher than Jamie's by our calculations but the given options suggest Jamie has been provided wrong information hence accuracy lies there.

Final Answer: Lou, 6.82 m/s