Question

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 ramp is 12 inches and a .6 feet from the driver in there the height of the ramp is 18 inches what is the rate of change of the ramps incline

Answer 1

The correct answer is:

3 inches up per foot across

Explanation:

To find the rate of change, we must find the change in height and the change in length.  The rate of change is then written as rise/run, or

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

The heights at the two given points are 18 inches and 12 inches.  This gives us a change of 18-12 = 6 inches.

The lengths at the two given points are 6 feet and 4 feet.  This gives us a change of 6-4 = 2 feet.

This makes our rate of change (6 inches)/(2 feet); this can then be simplified to (3 inches)/(1 foot), which means it goes up 3 inches for every foot of driveway length.

Answer 2

3 inches up per foot across.

I think this is the correct answer.