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 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.

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 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.
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Answer 1

To determine which scatterplot correctly represents the 5K marathon times for runners of various ages, we need to focus on the data points provided:

- For age 24, the time is 32.75 minutes.
- For age 29, the time is 33.63 minutes.
- For age 34, the time is 34.84 minutes.
- For age 39, the time is 35.33 minutes.
- For age 44, the time is 35.23 minutes.
- For age 49, the time is 36.16 minutes.

When plotting these points:

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

Now, let’s analyze your options:

1. **First Option**:
- Coordinate plane with age on the x-axis (0 to 40 in increments of 5) and time on the y-axis (0 to 40 in increments of 1).
- Approximate points: (24, 33), (29, 33.5), (34, 35), (39, 35.5), (44, 35.5), and (49, 36).
- This option approximates the data reasonably.

2. **Second Option**:
- A different axis setup which does not match the data provided (ages and times).

3. **Third Option**:
- Again, a different axis setup that does not match the data provided.

4. **Fourth Option**:
- Incorrect axis setup and points that don’t correlate with the given data.

The **first option** is the best candidate as it captures the essence of the data points correctly and uses a sensible range for both x (age) and y (time). Therefore, the answer is:

**The first option.**