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 12 in. (a) What is the maximum allowable slope for a wheelchair ramp? Assuming that the ramp has 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? H(x) = (b) If the space available to build a ramp is 150 in. wide, how high does the ramp reach? in

(a) Maximum slope,

(b) 12.5 in.

Step-by-step explanation:

The given condition is the wheelchair ramp must have a maximum rise of 1 in. for every horizontal distance of 12 in.

(a) Let m be the maximum allowable slope for the ramp.

.

Let x be the distance in the horizontal direction as shown in the figure.

So, for slope m, the linear function H for the height is

, where C is constant.

Now, at the starting of the ramp, x=0, and H=0.

Putting this condition back to the equation, we have

.

Hence, the required equation is

(b) The ramp is 150 in. wide,

So, height gained by the ramp at the end is,

in.

final answer is : )

step-by-step explanation:

most likely the answer is a.

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