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

Verified Answer :

The constant rate of time is 1:120

Answer:

-60 miles per hour          

Step-by-step 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 = \(\frac{y_2 - y_1}{x_2 - x_1}\), 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:

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

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