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

Answer:

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

Step-by-step 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 = $\frac{y-y'}{x-x'}$

         = $\frac{18-12}{6-4}$

         = $\frac{6}{2}=3$

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