Question

the grade of a road is its slope written as a percent. find the grade of the road shown. the grade is % (type an integer or a decimal)

Explanation:

Step1: Recall the formula for slope

Slope \(m=\frac{\text{rise}}{\text{run}}\). Here, the rise is \(4\) feet and the run is \(32\) feet. So, \(m = \frac{4}{32}\).

Step2: Simplify the fraction

\(\frac{4}{32}=\frac{1}{8}=0.125\).

Step3: Convert slope to a percentage

To convert a decimal to a percentage, multiply by \(100\). So, \(0.125\times100 = 12.5\).

Answer:

\(12.5\)