Question

question 1 - 6
selected response: 1 point for answer
the table below shows the number of hours and the
distance traveled during a familys summer road trip.
during which 2 - hour interval is the average rate of change the greatest?
from hour 2 to hour 4
from hour 4 to hour 6
from hour 6 to hour 8
from hour 8 to hour 10

Explanation:

Step1: Calculate average rate of change for each interval

The formula for average rate of change is $\frac{\text{Change in Distance}}{\text{Change in Time}}$.
For From Hour 2 to Hour 4:
Change in distance = $235 - 115=120$ miles. Change in time = $4 - 2 = 2$ hours. Rate = $\frac{120}{2}=60$ miles per hour.

Step2: For From Hour 4 to Hour 6:

Change in distance = $310 - 235 = 75$ miles. Change in time = $6 - 4=2$ hours. Rate = $\frac{75}{2}=37.5$ miles per hour.

Step3: For From Hour 6 to Hour 8:

Change in distance = $342 - 310=32$ miles. Change in time = $8 - 6 = 2$ hours. Rate = $\frac{32}{2}=16$ miles per hour.

Step4: For From Hour 8 to Hour 10:

Change in distance = $476 - 342 = 134$ miles. Change in time = $10 - 8=2$ hours. Rate = $\frac{134}{2}=67$ miles per hour.

Answer:

From Hour 8 to Hour 10