The table shows how far a distance runner has traveled since the race began. What is her average rate of change, in miles per hour, during the interval 0.75 to 1.00 hours? Time Elapsed (Hours) Miles Traveled (Miles) 0 point 5 0 2 point 0 0 0 point 7 5 3 point 5 0 1 point 0 0 4 point 7 5
Answer
A
4 point 7 5 miles per hour
B
5 point 5 0 miles per hour
C
5 point 0 0 miles per hour
D
6 point 0 0 miles per hour
Explanation
From 0.75 to 1.00 hours, she travels from 3.50 miles to 4.75 miles, a distance of 1.25 miles. The time interval is 1.00 − 0.75 = 0.25 hours, so her average rate of change is 1.25 ÷ 0.25 = 5.00 miles per hour. The correct choice is 5.00 miles per hour.
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