Question

Question 1, The Americans with Disabilties Act (ADA) regulations state that the maximum slope for a wheelchair ramp in new construction is 1:12, although slopes between 1:16 and 1:20 are preferred. The maximum rise for any run is 30 inches. The graph below shows the rise and runs of four different wheelchair ramps. Which ramp is in compliance with the ADA regulations for new construction?------------------------------------------------------------------------------------------------------------------------------Question 2 , Cell phone plan A charges $3 per month plus $0.10 per minute. Cell phone plan B charges $29.99 per month, with no fee for the first 400 minutes and then $0.20 for each additional minute.Which equation can be used to solve for the number of minutes, m (with m>400) that a person would have to spend on the phone each month in order for the bills for plan A and plan B to be equal?------------------------------------------------------------------------------------------------------------------------------Question 3, The table below gives data from various years on how many young girls drank milk.Based on the data given above, what was the probability that a randomly chosen girl in 1990 drank milk?

Answer 1

Question 1: Ramps A and B

Step-by-step explanation:

First, we need to identify the coordinates of the points in the graph

A(45, 3)

B(24, 1.8)

C(12, 1.5)

D(5, 0.5)

In these coordinates, the first component is the run and the second component is the rise. Therefore, the rise over run for each ramp is

Ramp A

3 : 45

3 ÷ 3 : 45 ÷ 3

1 : 15

Then, 1 : 15 is the slope for ramp A. Since 1 : 15 is lower than 1 : 12, this ramp is in compliance with the ADA regulations for new construction.

Ramp B

1.8 : 24

1.8 ÷ 1.8 : 24 ÷ 1.8

1 : 13.33

Since 1 : 13.33 is lower than 1 : 12, this ramp is in compliance with the ADA regulations for new construction.

Ramp C

1.5 : 12

1.5 ÷ 1.5 : 12 ÷ 1.5

1 : 8

the slope 1 : 8 is greater than 1 : 12, so this is not in compliance with the regulations

Ramp D

0.5 : 5

0.5 ÷ 0.5 : 5 ÷ 0.5

1 : 10

the slope 1 : 10 is greater than 1 : 12, so this is not in compliance with the regulations

Therefore, the ramps that are in compliance with the ADA regulations for new construction are ramps A and B