Question

(6, 330)1 point For the first leg of the Ramirez family's trip, their speed averages 68 miles per hour. They took a break for lunch then continued driving. The second leg of their trip is shown in the graph below.

What was the average rate of change (miles per hour) for the second leg of the trip?

Answer 1

The average rate of change for the second leg of the Ramirez family's trip is 55 miles per hour, calculated as the difference in distance divided by the difference in time.

To find the average rate of change (miles per hour) for the second leg of the trip, you can use the formula:

`\[ \text{Average Rate of Change} = \frac{\text{Change in Distance}}{\text{Change in Time}} \]`

In this case, the change in distance is the difference in the y-coordinates of the two points on the graph (1,55) and (6,330), and the change in time is the difference in the x-coordinates.

`\[ \text{Average Rate of Change} = (330 - 55)/(6 - 1) \]\[ \text{Average Rate of Change} = (275)/(5) \]\[ \text{Average Rate of Change} = 55 \text{ miles per hour} \]`

Therefore, the average rate of change for the second leg of the trip is 55 miles per hour.