Chapter 8.6, Problem 1AGP

To determine

To calculate: To find slope of the wheelchair ramp

Answer to Problem 1AGP

Slope of the wheelchair ramp is $\frac{1}{12}$

Explanation of Solution

Given information: Wheelchair ramp rises $2$ inches for every horizontal change of $24$ inches

Formula Used:

Slope is defined as rise over run, i.e. change in y-coordinates divided by change in x-coordinates

  $Slope=\frac{Rise}{Run}$

Calculation:

Given that wheelchair ramp rises $2$ inches for every horizontal change of $24$ inches

Therefore,

  $Rise=2inches$

  $Run=24inches$

Now, Slope of the kite string is calculated as

  $Slope=\frac{Rise}{Run}$

Substituting the value in above formula,

  $\begin{array}{l}Slope=\frac{2}{24}\\ Slope=\frac{1}{12}\end{array}$

Conclusion:

Hence, slope of the wheelchair ramp is $\frac{1}{12}$