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. Homework Help in Runner A: slope \( =\frac{2}{6} \) Runner B: slope \( =\frac{3}{7} \) Runner C : slope \( =\frac{5}{12} \) Runner D: slope \( =\frac{4}{10} \) \( \begin{array}{l}\text { List the runners from slowest to fastest. }\end{array} \)
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To determine the order from slowest to fastest runner, we should first convert the slopes into decimals to make comparisons easier. - Runner A: \( \frac{2}{6} = 0.33 \) - Runner B: \( \frac{3}{7} \approx 0.43 \) - Runner C: \( \frac{5}{12} \approx 0.42 \) - Runner D: \( \frac{4}{10} = 0.40 \) Now we can arrange them from slowest to fastest based on their slopes (lower slope indicates slower pace): 1. Runner A: 0.33 2. Runner D: 0.40 3. Runner C: 0.42 4. Runner B: 0.43 In conclusion, the order from slowest to fastest is: Runner A, Runner D, Runner C, Runner B.
