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

Answer 1

Answer: 3 inches per foot.

Explanation:

Given: A ramp with a constant incline is made to connect a driveway to a front door.

At a point 4 feet from the driveway
`d_1`, the height
`h_1`of the ramp is 12 inches.

At a point 6 feet from the driveway
`d_2`, the height
`h_2` of the ramp is 18 inches.

The rate of change of the ramp’s incline is given by :-

`R==(h_2-h_1)/(d_2-d_1)=(18-12)/(6-4)=(6)/(2)=3`

Hence, the rate of change of the ramp’s incline is 3 inches per foot.

Answer 2

The rate of change:
( y2 - y1 ) / (x2 - x1) = ( 18 in - 12 in ) / ( 6 ft - 4 ft ) =
= 6 in / 2 ft = 3 in / 1 ft
Answer: D ) 3 inches up per foot across