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Question
Use the table to answer the question.

Times of Runners by Age

The average 5K marathon times for runners of various ages are shown in the table.
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 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 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.

1 answer

To construct a scatter plot based on the provided data of average 5K marathon times for runners of various ages, we need to identify the correct format for the x-axis (age) and y-axis (time) on the coordinate plane.

The data given is:

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

For a scatter plot, we can use age (on the x-axis) and time (on the y-axis).

Here are the features to look for in the options:

  1. The x-axis should represent Age in years.
  2. The y-axis should represent Time in minutes.
  3. The approximate data points should reflect the values from the table above.

Now let’s evaluate each option based on these criteria:

  1. First Option: Age from 0 to 40 on x-axis and Time from 0 to 40 on y-axis.

    • The data points indicated do not match the values in the table.

  2. Second Option: Time from 0 to 50 on x-axis and Age from 0 to 45 on y-axis.

    • The data points indicated do not match the values in the table.

  3. Third Option: Age from 0 to 40 on x-axis in increments of 5 and Time from 0 to 40 on y-axis.

    • The data points are close, but still do not match the values in the table accurately.

  4. Fourth Option: Age from 0 to 40 on x-axis in increments of 2, Time from 0 to 50 on y-axis in increments of 5.

    • The data points given do not reflect correct values given in the table.

After evaluating all of the options, the third option is the one that best depicts a scatter plot corresponding to the data. However, be sure to double-check any specific point placements or increments in the plot representation.

The correct answer would likely be the third option as it accurately matches the age on the x-axis although the time data points require adjustment to match the precise values from the table.