Use the table to answer the question.

Times of Runners by Age

Age Time
24 32.75
29 33.63
34 34.84
39 35.33
44 35.23
49 36.16
A group of students was evaluating the average times of groups of runners for a 5K marathon. Construct the scatterplot based on the data in the table.

(1 point)
Responses

A coordinate plane is titled: Average Time of a 5 K. It shows age in years on the x-axis from 0 to 40 in increments of 1 and time in minutes on the y-axis from 0 to 40 in increments of 1.
The approximate data points are as follows: left parenthesis 22 comma 32.5 right parenthesis, left parenthesis 32 comma 33.5 right parenthesis, left parenthesis 34 comma 34.5 right parenthesis, left parenthesis 42 comma 35 right parenthesis, left parenthesis 44 comma 35 right parenthesis, and left parenthesis 49 comma 36 right parenthesis.
Image with alt text: A coordinate plane is titled: Average Time of a 5 K. It shows age in years on the x-axis from 0 to 40 in increments of 1 and time in minutes on the y-axis from 0 to 40 in increments of 1. The approximate data points are as follows: left parenthesis 22 comma 32.5 right parenthesis, left parenthesis 32 comma 33.5 right parenthesis, left parenthesis 34 comma 34.5 right parenthesis, left parenthesis 42 comma 35 right parenthesis, left parenthesis 44 comma 35 right parenthesis, and left parenthesis 49 comma 36 right parenthesis.

A coordinate plane is titled: Average Time of a 5 K. It shows age in years on the x-axis from 0 to 40 in increments of 2 and time in minutes on the y-axis from 0 to 50 in increments of 5.
The approximate data points are as follows: left parenthesis 33 comma 24 right parenthesis, left parenthesis 34 comma 29 right parenthesis, left parenthesis 35 comma 34 right parenthesis, left parenthesis 35 comma 39 right parenthesis, left parenthesis 35 comma 44 right parenthesis, and left parenthesis 36 comma 49 right parenthesis.
Image with alt text: A coordinate plane is titled: Average Time of a 5 K. It shows age in years on the x-axis from 0 to 40 in increments of 2 and time in minutes on the y-axis from 0 to 50 in increments of 5. The approximate data points are as follows: left parenthesis 33 comma 24 right parenthesis, left parenthesis 34 comma 29 right parenthesis, left parenthesis 35 comma 34 right parenthesis, left parenthesis 35 comma 39 right parenthesis, left parenthesis 35 comma 44 right parenthesis, and left parenthesis 36 comma 49 right parenthesis.

A coordinate plane is titled: Average Time of a 5 K. It shows age in years on the x-axis from 0 to 40 in increments of 5 and time in minutes on the y-axis from 0 to 40 in increments of 1.
The approximate data points are as follows: left parenthesis 24 comma 33 right parenthesis, left parenthesis 29 comma 33.5 right parenthesis, left parenthesis 34 comma 35 right parenthesis, left parenthesis 39 comma 35.5 right parenthesis, left parenthesis 44 comma 35.5 right parenthesis, and left parenthesis 49 comma 36 right parenthesis.
Image with alt text: A coordinate plane is titled: Average Time of a 5 K. It shows age in years on the x-axis from 0 to 40 in increments of 5 and time in minutes on the y-axis from 0 to 40 in increments of 1. The approximate data points are as follows: left parenthesis 24 comma 33 right parenthesis, left parenthesis 29 comma 33.5 right parenthesis, left parenthesis 34 comma 35 right parenthesis, left parenthesis 39 comma 35.5 right parenthesis, left parenthesis 44 comma 35.5 right parenthesis, and left parenthesis 49 comma 36 right parenthesis.

A coordinate plane is titled: Average Time of a 5 K. It shows time in minutes on the x-axis from 0 to 50 in increments of 2. It shows age in years on the y-axis from 0 to 45 in increments of 5.
The approximate data points are as follows: left parenthesis 33 comma 23 right parenthesis, left parenthesis 32 comma 33.5 right parenthesis, left parenthesis 34.5 comma 34.5 right parenthesis, left parenthesis 35.5 comma 42 right parenthesis, left parenthesis 44 comma 35 right parenthesis, and left parenthesis 49 comma 36 right parenthesis.
Image with alt text: A coordinate plane is titled: Average Time of a 5 K. It shows time in minutes on the x-axis from 0 to 50 in increments of 2. It shows age in years on the y-axis from 0 to 45 in increments of 5. The approximate data points are as follows: left parenthesis 33 comma 23 right parenthesis, left parenthesis 32 comma 33.5 right parenthesis, left parenthesis 34.5 comma 34.5 right parenthesis, left parenthesis 35.5 comma 42 right parenthesis, left parenthesis 44 comma 35 right parenthesis, and left parenthesis 49 comma 36 right parenthesis.
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1 answer

To determine which scatterplot correctly represents the data from the provided table of times for runners by age, we need to identify the corresponding coordinates from the table:

  • Age 24 corresponds to Time 32.75
  • Age 29 corresponds to Time 33.63
  • Age 34 corresponds to Time 34.84
  • Age 39 corresponds to Time 35.33
  • Age 44 corresponds to Time 35.23
  • Age 49 corresponds to Time 36.16

Now, let's consider the appropriate scatterplot options provided:

  1. First Option:

    • Data points: (22, 32.5), (32, 33.5), (34, 34.5), (42, 35), (44, 35), (49, 36)
    • Does not match.
  2. Second Option:

    • Data points: (33, 24), (34, 29), (35, 34), (35, 39), (35, 44), (36, 49)
    • Does not match.
  3. Third Option:

    • Data points: (24, 33), (29, 33.5), (34, 35), (39, 35.5), (44, 35.5), (49, 36)
    • Does not match.
  4. Fourth Option:

    • Data points: (33, 23), (32, 33.5), (34.5, 34.5), (35.5, 42), (44, 35), (49, 36)
    • Does not match.

Based on the comparison, it looks like none of the provided options reflect the actual data points derived from the table.

However, if we were to reconstruct the correct points based on the ages and their corresponding times as derived from the table:

  • (24, 32.75)
  • (29, 33.63)
  • (34, 34.84)
  • (39, 35.33)
  • (44, 35.23)
  • (49, 36.16)

The expected scatterplot would show the points closely around the values specified above.

Therefore, please reconfirm if there might be an error with the options presented, as they don't appear to represent the original data accurately.

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