Question

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? 1/3 inch up per foot across 1/2 inch up per foot across 2 inches up per foot across 3 inches up per foot across

Answer 1

3in up per foot across

Explanation:

4ft across 12in height

6ft across 18in height

So for every 2ft it goes up 6” which is a ratio of 1ft:3in so the answer to the rate of change is 3in up per 1ft across