To construct the scatterplot based on the provided average 5K marathon times for runners of various ages, we will plot the points according to the age (y-axis) and time (x-axis).
From the data in the table:
- 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
The points should be as follows:
- (32.75, 24)
- (33.63, 29)
- (34.84, 34)
- (35.33, 39)
- (35.23, 44)
- (36.16, 49)
Analyzing the options provided, we want to find the one that accurately represents these points in terms of age on the x-axis and time on the y-axis.
Based on the age to time relationship, the axes should reflect:
- x-axis: Time in minutes (you should be able to capture all values above 32.75 and below 37).
- y-axis: Age in years (should extend to at least 49).
After checking through the options, the correct scatterplot option is the one that incorporates appropriate scaling and captures age in years against average time, which will be:
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, 32), (29, 33.5), (34, 35), (39, 35.5), (44, 35.5), and (49, 36).
This option appears to most closely align with the given data points.