A local diner must build a wheelchair ramp to provide handicap access to the restaurant. Building codes require that a wheelchair ramp must have a maximum rise of 1 in. for every horizontal distance of 20 in.

A) What is the maximum allowable slope for a wheelchair ramp?

B) Assuming that the ramp has a maximum rise, find a linear function H that models the height of the ramp above the ground as a function of the horizontal distance x?

C) If the space available to build a ramp is 190 in. wide, how high does the ramp reach?

Question

Mathematics

Rachel Norris

Today, 15:10

A local diner must build a wheelchair ramp to provide handicap access to the restaurant. Building codes require that a wheelchair ramp must have a maximum rise of 1 in. for every horizontal distance of 20 in.

A) What is the maximum allowable slope for a wheelchair ramp?

B) Assuming that the ramp has a maximum rise, find a linear function H that models the height of the ramp above the ground as a function of the horizontal distance x?

C) If the space available to build a ramp is 190 in. wide, how high does the ramp reach?

+2

Answers (1)

Know the Answer?

Leland Friedman · Answer 1

A) 1/20

B) H = x/20

C) 9.5 in

Step-by-step explanation:

A) Slope is the ratio of rise to run, so is ...

slope = rise/run = (1 in) / (20 in)

slope = 1/20

__

B) The maximum height is 1/20 of the horizontal distance, so ...

H = (1/20) x

__

C) Using x=190 in the above formula, ...

H = (190 in) / 20 = 9.5 in

The ramp will reach a height of 9.5 inches.