Question

A graph can be used to show the number of miles that a car drives per hour. For every 4 hours, the distance of the car goes up by 84 miles.

What is slope of the graph in miles per hour (mph)?

Answer 1

To find the slope of the graph, which represents the rate of change of distance with respect to time, we can use the formula for slope:

\[
\text{slope} = \frac{\text{change in distance}}{\text{change in time}}
\]

From the problem, we know that for every 4 hours, the distance of the car increases by 84 miles.

Let’s substitute these values into the slope formula:

- Change in distance = 84 miles
- Change in time = 4 hours

Now calculate the slope:

\[
\text{slope} = \frac{84 \text{ miles}}{4 \text{ hours}} = 21 \text{ mph}
\]

Therefore, the slope of the graph is **21 miles per hour (mph)**.