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: A person weighed themselves at 176 lb. Four months later they weighed themselves at 186 lb. Which of the following is the percent of weight the person gained over 4 months? (Round to the nearest percent.)

A. 6%

B. 10%

C. 11%

D. 9%

Answer Explanation

we are asked to find the percent change in weight gain of a person.

First, we need to find the change in weight gained over the 4 months

Change in weight= 186-176=10 lb

The percent change is expressed as change in weight over original weight *100. Then

The percent change in weight is 6% to the nearest whole number.
Q #2: A circle has an area of 81π in2. Which of the following is the circumference of the circle in terms of pi ( π)?

A. 4.5 π in

B. 14 π in

C. 18 π in

D. 9 π in

Answer Explanation

we need to find the circumference of the circle from the given area.

The first step is to find the radius of the circle using the given area. Let r be the radius of the circle, then:

Substituting the value of area in the above equation becomes

Dividing both sides by pi and taking square root on both sides yields

Now, we know the radius of circle to be 9 in, the circumference of the circle becomes,

in.
Q #3: Simplify the expression above. Which of the following is correct?

A. 6

B. 18

C. 9

D. 22

Answer Explanation

To simplify this expression, we follow the order of operations as follows:

First, we start with the numerator and solve it as follows

[2(6+3*9)]

We start with multiplication in inner brackets, 3 * 9 = 27. The expression becomes

[2(6+27)]

Then, we carry out the addition of 6+27=33. Then, the expression yields

[2(33)]=2*33=66

Now, we solve for denominator, which is 6/2=3.

Thus, the expression is reduced into

The expression reduces into 22.