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16 February, 14:59

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?

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  1. 16 February, 17:59
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    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.
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