Question

The steepness or grade of a road is expressed as a percent. if a road rises 8 feet for every 64 horizontal feet. What is the slope of the road? what percent grade is this ?

Answer 1

Slope = 1/8

Grade = 12.5%

Explanation:

Hey there!

Well if the rise/run is 8/64

then the slope is 8/64,

8/64

simplified

1/8 is the slope

The decimal grade is 1/8 as a percent so,

1 ÷ 8 = .125

Move the decimal place 2 times to the right,

12.5% is the decimal grade

Hope this helps :)

Answer 2

`(1)/(8)` is the slope, and the percent grade of this is 12.5%.

Explanation:

The slope of any linear equation is always rise over run.

Since we rise 8 feet for every 64 feet travelled horizontally, our fraction is

`(8)/(64)` which simplifies to
`(1)/(8)`, so
`(1)/(8)` is the slope.

To find the percent grade, we find the decimal version of
`(1)/(8)` and multiply by 100.

`1/8 = 0.125\\0.125\cdot100 = 12.5`

Hope this helped!