### Home > ACC7 > Chapter 7 Unit 8 > Lesson CC3: 7.2.2 > Problem7-50

7-50.

Lydia drew a graph of four athletes in the final part of the triathlon, the $10$ km run. She found the slope of each runner’s line. Her results are listed below.

Runner A: slope $=\frac{2}{6}$

Runner B: slope $=\frac{3}{7}$

Runner C: slope $=\frac{5}{12}$

Runner D: slope $=\frac{4}{10}$

List the runners from slowest to fastest.

The fastest athlete will have the greatest slope, because that means that they were able to run a greater distance in a given amount of time.

One way to see which runner had the greatest slope is to convert each fraction into a decimal.

The decimal approximation for Runner A is $0.33$ and for Runner B it is $0.43$.
Find the decimal values for the other two runners, then arrange them from least to greatest.