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erma4kov [3.2K]
3 years ago
5

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
Mathematics
2 answers:
ziro4ka [17]3 years ago
8 0
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 
Sliva [168]3 years ago
7 0

Answer: 3 inches per foot.

Step-by-step 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_1of 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==\frac{h_2-h_1}{d_2-d_1}=\frac{18-12}{6-4}=\frac{6}{2}=3

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

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