The American with Disabilities Act (ADA) requires that the slope of a wheelchair ramp be no greater than 1:12. Which of the following is the minimum length of a ramp needed to provide access to a door that is 5.0 feet above the sidewalk?

A. 60 feet

B. 145 feet

C. 32.5 feet

D. 30 feet

Answer Explanation:

To find the minimum length requires, we need to understand what slope in the question represents. The slope represents the ratio between the height to the length. Let x be the minimum length of the ramp. Then,

Now, we find the value of x by cross-products as follows

Thus, the minimum length required to provide access is 60 feet.

Therefore, the Correct Answer is A.

Q #1: A person weighed themselves at 160 lb. Three months later they weighed themselves at 130 lb. Which of the following is the percent of weight the person lost over 3 months? (Round to the nearest percent.)

A. 20%

B. 13%

C. 19%

D. 29%

Answer Explanation

the percentage change in weight is found by calculating change in weight over original multiplied by 100%.

First, find the change in weight over the 3 months

Change in weight lost= 1860-130=30 lb

Thus

The percent change in weight is 19% to the nearest whole number.
Q #2: Solve for w in the equation below.

A. w=rxy+z

B. w=(x/ry)+(z/r)

C. w=y(z+rx)

D. w=(x/ry)-(z/r)

Answer Explanation

We are asked to make w the subject of the formula.

First, we rearrange the equation by to ensure w is on the right hand of the equation.

Then, divide both sides by r

Multiply both sides by y

The above equation can be rearranged into

Thus, the formula for finding the value of w is (x/ry)-(z/r).
Q #3: As the number of opening hours a bank opens in a week increases, the amount of transaction, the number of deposits, and the number of loans available also increase. Which of the following is the independent variable?

A. Opening hours

B. Amount of transactions

C. Number of loans available

D. Number of deposits

Answer Explanation

Based on the given case, the outcome of measuring the duration of opening the bank is the amount of transaction, the number of deposits, and the number of loans available. The three outcomes are dependent variables while the number of opening hours is the independent variable.