A local road rises 4 feet for every 50 feet of highway

The slope of a line is given by its change in the y-axis direction by its change in the x-axis direction. In our case,
[tex]m=\frac{4}{50}=\frac{2}{25}=0.08[/tex]Therefore, the slope is 2/25, which is equivalent to 0.08.
b) Remember that 100%=100/100=1; therefore,
[tex]\begin{gathered} 100\%\to1 \\ x\%\to0.08 \\ \Rightarrow\frac{x}{0.08}=\frac{100}{1} \\ \Rightarrow x=100\cdot0.08=8\% \end{gathered}[/tex]The grade of this highway is 8%