Answer:[tex]\dfrac{800}{9}[/tex]
Step-by-step explanation:
Slope is defined as the rate of change of one variable with respect to an other variable.
Let [tex]d[/tex] be the distance travelled in [tex]t[/tex] seconds.
Let [tex]m[/tex] be the slope.
Then,[tex]m=\frac{d}{t}[/tex]
Given,
[tex]d=800miles\\t=9hours[/tex]
So,[tex]m=\frac{800}{9}[/tex]
This slope is the rate of change of distance towards home for every hour travelled.
Let [tex]D[/tex] be the distance from home.
[tex]\frac{dD}{dt}=m=\frac{800}{9}[/tex]
