Important WGU Applied Algebra Exam Questions

Answer: B

Explanation:

The graph shows the temperature of an object decreasing over time.

The horizontal axis represents:

The vertical axis represents:

The curve decreases and approaches the horizontal axis as time increases.

A horizontal asymptote is a horizontal line that the graph approaches but may not reach. Horizontal lines have equations of the form:

From the graph, the curve approaches:

So the horizontal asymptote is:

The options and are vertical lines, not horizontal asymptotes.

Therefore, the correct answer is:

Answer: B

Explanation:

The function is:

This is a linear function in the form:

where:

and

In the function:

the coefficient of is:

So the rate of change is:

Because is positive, the fish population is increasing.

The number is not the rate of change. It represents the starting fish population at the beginning of the year, when :

Therefore, the correct interpretation is:

So the correct answer is:

Answer: B

Explanation:

The function gives the number of active shopping carts on a website.

Because represents active carts, the difference between and will be measured in:

not hours.

First evaluate :

Now evaluate :

Now find the difference:

This is approximately:

Therefore, the correct answer is:

Answer: A

Explanation:

The graph compares the spread of two viruses over time.

The horizontal axis represents:

The vertical axis represents:

The graph shows:

Virus A as the solid blue curve.

Virus B as the dashed blue curve.

To determine which statement is correct, we compare when each virus reaches the same population percentage.

At :

Virus B reaches earlier, around months.

Virus A reaches later, around months.

So Virus B affects of the population before Virus A does.

For higher percentages such as , , and , Virus A rises more quickly after about , so Virus A reaches those percentages before Virus B.

Therefore, the correct conclusion is:

Answer: C

Explanation:

The graph shows , where:

and

The graph is a downward-opening curve, so its maximum value occurs at the highest point of the graph, also called the vertex.

From the graph, the highest point occurs at approximately:

So the maximum daily profit happened approximately:

The vertical value at this maximum point is approximately:

But the graph measures profit in hundreds of dollars, so:

Therefore, the maximum daily profit was approximately:

So the correct interpretation is: