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Jason is training for a marathon bike ride. His average speed increased from 3 miles per hour to 6 miles per hour in 3 months. Find the rate of change in the miles per hour that Jason bikes. A) .5 mile per hour per month B) 1 mile per hour per month C) 2 miles per hour per month D) 3 miles per hour per month

Verified Answer :

B.... 6-3=3miles in 3 months .. and that's a mile per month

Answer:  The correct option is (B)  1 mile per hour per month.

Step-by-step explanation:  Given that Jason is training for a marathon bike ride. His average speed increased from 3 miles per hour to 6 miles per hour in 3 months.

We are to find the rate of change in the miles per hour that Jason bikes.

We know that

the average rate of change between the points (a, b) and (c, d) is given by

\(A_r=\dfrac{d-b}{c-a}.\)

Since the number of months vary from 0 to 3, and the speed increases from 3 miles per hour to 6 miles per hour,

so the two points on the co-ordinate plane with number of months plotted across X-axis and average speed plotted on Y-axis are (0, 3) and (3, 6).

Therefore, the average rate of change in the miles per hour that Jason bikes is

\(A_r=\dfrac{6-3}{3-1}=\dfrac{3}{3}=1.\)

Thus, the required rate of change is 1 mile per hour per month.

Option (B) is correct.

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