Question

a walkway rises 6.5 ft for every 5 ft on the horizontal. find its slope (or grade). select all that apply a. 100% b. $\frac{13}{10}$ c. 65% d. $\frac{5}{6.5}$ e. 10

Explanation:

Step1: Recall slope formula

The slope $m$ is given by the ratio of the vertical change (rise) to the horizontal change (run). Here, rise $= 6.5$ ft and run $= 5$ ft. So, $m=\frac{6.5}{5}$.

Step2: Simplify the fraction

$\frac{6.5}{5}=\frac{65}{50}=\frac{13}{10}=1.3$. To express it as a percentage (grade), we multiply by 100, getting $1.3\times100 = 130\%$. But just as a non - percentage slope value, it is $\frac{13}{10}$.

Answer:

B. $\frac{13}{10}$