Question

the slope of a road is called the grade. what is the grade of a road that increases 4 feet in height over 100 feet of horizontal distance? a 104 b 20 c $\frac{1}{20}$ d $\frac{1}{25}$ e $\frac{25}{1}$

Explanation:

Step1: Recall grade formula

The grade of a road is the ratio of the vertical rise to the horizontal run. So the formula for grade is $\text{Grade}=\frac{\text{Vertical Rise}}{\text{Horizontal Run}}$.

Step2: Substitute values

Given that the vertical rise is 4 feet and the horizontal run is 100 feet. Substitute these values into the formula: $\text{Grade}=\frac{4}{100}$.

Step3: Simplify the fraction

$\frac{4}{100}=\frac{4\div4}{100\div4}=\frac{1}{25}$.

Answer:

D. $\frac{1}{25}$