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 marathons. construct the scatterplot based on the data in the table.
A. 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.
B. 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.
C. 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.
D. 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
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 marathons. construct the scatterplot based on the data in the table.
A. 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.
B. 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.
C. 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.
D. 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
Answers
GPT-4o mini
To construct the scatterplot based on the given data, we must plot the average 5k marathon times for different ages provided in the table. The data points are:
- (24, 32.75)
- (29, 33.63)
- (34, 34.84)
- (39, 35.33)
- (44, 35.23)
- (49, 36.16)
From the table, we can summarize the information in the following way:
- 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.
Now we review the answer choices provided:
**A.** The x-axis ranges for time from 0 to 50 (this is fitting), and age from 0 to 45. However, the coordinates provided do not match the actual data.
**B.** This choice has an x-axis for age from 0 to 40, which does not cover the age range in the data. Additionally, the data points listed do not correspond to the ages and times from the table.
**C.** Similar to the previous choices, the x-axis for age is incorrect, and the provided points do not correspond to the data.
**D.** The x-axis shows age in increments of 5 from 0 to 40, which is incorrect since it should extend to at least 49. However, the data points in this option roughly match the correct ages and times:
- (24, ~33) matches (24, 32.75)
- (29, ~33.5) matches (29, 33.63)
- (34, ~35) is somewhat close to (34, 34.84)
- (39, ~35.5) matches fairly well (39, 35.33)
- (44, ~35.5) is very close to (44, 35.23)
- (49, ~36) matches (49, 36.16)
With this assessment, **D** appears to be the most relevant option, as it provides data points that are reasonably close to the actual measurements, even though the x-axis is slightly limited.
Therefore, based on the provided data, the closest match for the scatterplot is:
**D.** 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.
- (24, 32.75)
- (29, 33.63)
- (34, 34.84)
- (39, 35.33)
- (44, 35.23)
- (49, 36.16)
From the table, we can summarize the information in the following way:
- 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.
Now we review the answer choices provided:
**A.** The x-axis ranges for time from 0 to 50 (this is fitting), and age from 0 to 45. However, the coordinates provided do not match the actual data.
**B.** This choice has an x-axis for age from 0 to 40, which does not cover the age range in the data. Additionally, the data points listed do not correspond to the ages and times from the table.
**C.** Similar to the previous choices, the x-axis for age is incorrect, and the provided points do not correspond to the data.
**D.** The x-axis shows age in increments of 5 from 0 to 40, which is incorrect since it should extend to at least 49. However, the data points in this option roughly match the correct ages and times:
- (24, ~33) matches (24, 32.75)
- (29, ~33.5) matches (29, 33.63)
- (34, ~35) is somewhat close to (34, 34.84)
- (39, ~35.5) matches fairly well (39, 35.33)
- (44, ~35.5) is very close to (44, 35.23)
- (49, ~36) matches (49, 36.16)
With this assessment, **D** appears to be the most relevant option, as it provides data points that are reasonably close to the actual measurements, even though the x-axis is slightly limited.
Therefore, based on the provided data, the closest match for the scatterplot is:
**D.** 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.