b Find the total distance traveled in the final 10 minutes and divide that by 10.
A
aSlowest: 10-20 minute interval
Fastest: 30-40 minute interval
B
b 0.11 miles per minute
Practice makes perfect
a Since the distance Eliana covers depends on how long she has been running, we will place time on the horizontal axis and distance on the vertical axis. Let's plot the six given data points and connect them with line segments.
Speed is equivalent to the slope of the segments. The steeper the segment, the faster Eliana runs. From this, we can identify the second 10-minute interval as the slowest because it's slope is the least steep. To determine when she ran the fastest, let's identify the vertical and horizontal distances between the endpoints of the other segments.
We can see in the diagram that the vertical distance is the greatest between 30 and 40 minutes, which makes it the steepest segment. Therefore, this is the 10-minute interval when Eliana ran the fastest.
b We know from Part A that Eliana ran 1.1 miles during the last 10-minute interval. If we divide the distance she ran by the number of minutes it took her to run the distance, we get her speed in miles per minute (mpm).
