A ramp with a constant incline is made to connect a driveway to a front door. At a point 4 feet from the driveway, the height of the ramp is 12 inches. At a point 6 feet from the driveway, the height of the ramp is 18 inches. What is the rate of change of the ramp’s incline?
Accepted Solution
A:
recall that, there are 12 inches in 1 foot, now, when the ramp is 4 feet away, that's 4*12 inches, and when it's 6 feet away, that's 6*12 inches.
[tex]\bf \begin{array}{ccll}
\stackrel{\textit{inches from driveway}}{x}&\stackrel{\textit{inches of ramp's height}}{y}\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
48&12\\
72&18
\end{array}\\\\
-------------------------------[/tex]