Problema Solution
A wooden access ramp is being built to reach a platform that sits 30 inches above the floor. The ramp drops 2 inches for every 25 inch run.
A. What is the Slope? Write a linear equation that relates the height,y, of the ramp above the floor to the horizontal distance,x, from the platform.
B. Find the x-intercept of the graph of your equation.
C. Design requirements stipulate that the maximum run be 30 feet. Will this ramp meet the requirements?
D. Using a complete sentence, explain the reason that you gave your answer to part c.
Answer provided by our tutors
A.
the slope m = the change y/the change in x
m = - 2/25
y = (- 2/25)x + 30
B.
(- 2/25)x + 30 = 0
x = 375
x-intercept is 375
click here to see the graph
C.
The ramp meets the floor 375 in = 31.25 ft from the base of the platform.
The ramp does not meet design requirements. It has a run of 31.25 ft long > 30 ft
D.
The x-intercept gives the information that the ramp meets the floor at 375 in = 31.25 ft from the base of the platform.