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 point 7 5 to 1 point 0 0 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
6 point 0 0 miles per hour
B
5 point 5 0 miles per hour
C
4 point 7 5 miles per hour
D
5 point 0 0 miles per hour
Explanation
Average rate of change is the change in distance divided by the change in time. From 0.75 to 1.00 hours, she travels 4.75 − 3.50 = 1.25 miles in 1.00 − 0.75 = 0.25 hours. Then 1.25 ÷ 0.25 = 5.00 miles per hour, so the correct choice is 5.00 miles per hour.
AI-written and checked against the verified answer.