Lets find the slope of the graph for Jennifer's record. THe slope represents her rate.
Slope = (y2 - y1) / (x2 - x1)
Lets use the first two points.
Slope = (8 - 5) / 64 - 40)
= 3 / 24
= 1 / 8
Use the second and third points.
Slope = (10 - 8) / (80 - 64)
= 2 / 16
= 1 / 8
Last points.
Slope = (12 - 10) / (96 - 80)
= 2 / 16
= 1 / 8
The slopes are constant.
Now we compare the slopes. Use the LCD to compare fractions.
1 / 9 = 8 / 72
1 / 8 = 9 / 72
9 / 72 > 8 / 72
Jennifer has the faster training rate. She can cover more distance in less time than Patrick can.
