Which of the following is the independent variable in the equation below? F(x)=5x+10

A. 10

B. F

C. 5

D. x

Answer Explanation:

An independent variable is a variable that is manipulated or changed in the experiment. From the given equation, x is variable that is changed to obtain the desired outcome, F(x). Therefore, x is an independent variable.

Therefore, the Correct Answer is D.

Q #1: There are 800 students enrolled in four allied health program at a local community college. The percent students in each program is displayed in the pie chart. Which of the following is the number of students enrolled in the dental hygiene program?

A. 168

B. 144

C. 336

D. 152

Answer Explanation

we are to use the pie chart to find the number of students enrolled in dental hygiene care.

Letting x represent the number of students enrolled in dental hygiene care, we set the proportion equation with number of students as numerator and percentage as denominator. It should be noted that the whole pie chart represents 100% of the 800 students. Then,

We solve the value of x by cross-products.

Therefore, 144 students will enroll for a dental hygiene program.
Q #2: Solve for z in the equation above.

A. z=rwy+x

B. z=rw+(y/x)

C. z=y(x+rw)

D. z=rw-(y/x)

Answer Explanation

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

First, we subtract y/x from both sides of the equation

Thus, the formula for finding the value of z is .
Q #3: 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 = 2x

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

C. A = x+(x+2)

D. A = x(x+2)

Answer Explanation

we are asked to find the area of a rectangle, which can only be found by finding the relation between length and width. Now, letting x represent the width, then

Length of rectangle=(x+2)

Width of the rectangle= x

Area of the rectangle, A= Length*width=(x+2)*x

A=x(x+2)

Therefore, the area of the rectangle becomes x(x+2).