As the number of credit hours a student takes in a semester increases, the tuition fees, the amount of access fees, and the number of student loans available also increase. Which of the following is the independent variable?

A. Amount of access fees

B. Tuition fees

C. Number of credit hours

D. Number of student loans available

Answer Explanation:

A change in number of credit hours will lead to a change in the amount of access fees, amount of tuition fees, and availability of the number of student loans. Thus, number of credit hours is the independent variable.

Therefore, the Correct Answer is C.

Q #1: A macaroni and cheese recipe calls for 4/7 cup of flour for every 2 1/5 cup of milk. To make a bigger batch, the chef uses 4 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?

A. 15 1/5 cups

B. 15 2/5

C. 12 8/15 cups

D. 15 cups

Answer Explanation

To find the required number of cups of milk, we need to set up a proportion equation. If we let x be the required number of cups and cups of flour as numerator and cups of milk in denominator, then the result proportion becomes:

We cannot multiply mixed fractions with any number, so we change 2 1/5 into an improper fraction as

The proportion equation becomes

Cross-multiply to solve for x

As a mixed fraction, 77/5 becomes 15 2/5. Therefore, to make a bigger batch, the chef needs 15 2/5 cups of milk.
Q #2: The length of a rectangular room is 2 feet greater than its width. Which of the following equations represents the area (A) of the room?

A. A=x(x+2)

B. A=2x+2(x+2)

C. A=2x(x+2)

D. A=2x

Answer Explanation
Q #3: Which of the following is the length of the unknown leg of a right triangle that has one leg length of 5 feet and a hypotenuse of 17 feet? (Round to the nearest tenth.)

A. 18 feet

B. 14.4 feet

C. 9.8 feet

D. 16.2 feet

Answer Explanation

We are asked to find the one of the lengths of a right-angled triangle, we use the Pythagoras theorem to find the unknown length.

First, we label the triangle as below and let the unknown length be x.

Then, we apply the Pythagoras theorem to find the value of x as:

We take square-root on both sides

The value of the unknown length is 16.2 feet.