Question

The distance remaining for a road trip over several hours is shown in the table. Use information to find the constant rate of change in miles per hour.

Time (h) Distance Left (mi)
2 480
4 360
6 240
8 180

Answer 1

The constant rate of time is 1:120

Answer 2

-60 miles per hour

Explanation:

We are given the following information in the question:

Distance left: 480 360 240 180

(miles)

Time: 2 4 6 8

(hours)

To find the constant rate of change in miles per hour we use the following formula:

Constant rate in miles per hour =
`(y_2 - y_1)/(x_2 - x_1)`, where
`y_2, y_1` are the distances in miles and
`x_2, x_1` are time in hours.

Putting down values from the given data in the formula, we get:

`Rate = (360 -480)/(4-2) = (-120)/(2) = -60\text{ miles per hour}.`

Here, the negative sign tells us about the inverse relationship that as the time increases the distance is decreasing.