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? answer is 3

Answer 1

Let A(4,12) and B(6,18)

RATE OF CHANGE = m = (y₂ - y₁) / (x₂ - x₁) = (18-12)/ (6-4)

m= 6/2 or m = 3

Answer 2

Rate of change of the ramp's incline is 3.

Explanation:

Since the points on ramp F and G have the coordinates (4, 12) and (6, 18)

Now the slope of the ramp passing through two points will be the rate of change of the ramp's incline.

Slope =
`(y-y')/(x-x')`

=
`(18-12)/(6-4)`

=
`(6)/(2)=3`

Therefore, rate of change of the ramp's incline is 3.