Chapter F.3, Problem 125AYU

Access Ramp A wooden access ramp is being built to reach a platform that sits $30$ inches above the floor. The ramp drops $2$ inches for every $25$-inch run.

Write a linear equation that relates the height y of the ramp above the floor to the horizontal distance $x$ from the platform.

Find and interpret the $x$-intercept of the graph of your equation.

Design requirements stipulate that the maximum run be $30$ feet and that the maximum slope be a drop of $1$ inch for each $12$ inches of run. Will this ramp meet the requirements? Explain.

What slopes could be used to obtain the $30$-inch rise and still meet design requirements?