A ramp with a constant incline is made to connect a driveway to the front door and 4 feet from the driveway the height of the ra

3 inches rise for each foot in distance.

I believe this is the right answer.

The correct response is:

3 inches rise for every foot in length

Explanation:

To derive the rate of change, we need to compute the difference in height and the difference in distance. The rate of change is expressed as rise/run, or

(change in height)/(change in length).

The respective heights at the specified points are 18 inches and 12 inches, resulting in a change of 18-12 = 6 inches.

The corresponding lengths at those points are 6 feet and 4 feet, yielding a change of 6-4 = 2 feet.

This implies our rate of change is (6 inches)/(2 feet), which simplifies to (3 inches)/(1 foot), indicating a rise of 3 inches for each foot of incline on the driveway.