Respuesta :

Answer:

Slope, [tex]m=\dfrac{1}{5}[/tex]

Step-by-step explanation:

It is given that,

A road rises 20 feet for every 100 feet in horizontal distance.

Rise (vertical distance) = 20 feet

Run (horizontal distance) = 100 feet

Slope of the road is given by the ratio of rise to the run. It can be calculated as :

[tex]m=\dfrac{20}{100}\\\\=\dfrac{1}{5}[/tex]

So, the slope is [tex]\dfrac{1}{5}[/tex].