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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 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.

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.

3 answers

To construct a scatterplot based on the provided data, we need to plot the ages against their corresponding times. Let's summarize the data again for clarity:

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

Now let's analyze the scatterplot options based on this data. The correct option will have:

  1. Age on the x-axis
  2. Time on the y-axis
  3. Data points that are close to or match the pairs listed above.

Based on your options:

  • The fourth option shows data points closely matching the lengths:
    • (24, 32.75) ~ (24, 33)
    • (29, 33.63) ~ (29, 33.5)
    • (34, 34.84) ~ (34, 35)
    • (39, 35.33) ~ (39, 35.5)
    • (44, 35.23) ~ (44, 35.5)
    • (49, 36.16) ~ (49, 36)

So, the correct answer is:

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: (24, 33), (29, 33.5), (34, 35), (39, 35.5), (44, 35.5), and (49, 36).

A
B
C
D

It seems you're looking for a way to categorize or label the scatterplot options I described into categories A, B, C, and D. However, I only described one of the options but didn't assign them any labels.

Based on the details provided earlier, here’s the labeling for the options:

  • A: A coordinate plane titled "Average Time of a 5 K" with age on the x-axis from 0 to 40 (increments of 1) and time on the y-axis from 0 to 40 (increments of 1) – (Incorrect)

  • B: A coordinate plane titled "Average Time of a 5 K" with time on the x-axis from 0 to 50 (increments of 2) and age on the y-axis from 0 to 45 (increments of 5) – (Incorrect)

  • C: A coordinate plane titled "Average Time of a 5 K" with age on the x-axis from 0 to 40 (increments of 2) and time on the y-axis from 0 to 50 (increments of 5) – (Incorrect)

  • D: A coordinate plane titled "Average Time of a 5 K" with age on the x-axis from 0 to 40 (increments of 5) and time on the y-axis from 0 to 40 (increments of 1) – (Correct)

Conclusion

The correct answer is D.

If you meant to ask for a specific choice regarding which response corresponds to which letter, please clarify further!