Question

According to the​ function, the distance from home decreases by 800 miles every 9 hours

Calculate the slope and represent it as a rate of change.

Answer 1

Answer:
`(800)/(9)`

Explanation:

Slope is defined as the rate of change of one variable with respect to an other variable.

Let
`d` be the distance travelled in
`t` seconds.

Let
`m` be the slope.

Then,
`m=(d)/(t)`

Given,

`d=800miles\\t=9hours`

So,
`m=(800)/(9)`

This slope is the rate of change of distance towards home for every hour travelled.

Let
`D` be the distance from home.

`(dD)/(dt)=m=(800)/(9)`