Important WGU Applied Algebra Exam Questions

Answer: A

Explanation:

This question is about reading an ordered pair from a graph.

An ordered pair has the form:

where:

and

From the graph:

Point is at approximately

Point is at

Point is at

Point is at

Point is at approximately

Point is at

Now compare these graph points with the answer choices.

Choice A says:

This matches point on the graph exactly.

The other choices do not match the graph:

is incorrect because at , the graph shows about , not .

is incorrect because at , the graph is about , not .

is incorrect because at , the graph shows about , not .

Answer: B

Explanation:

This question asks us to interpret a graph showing cost and revenue.

In Applied Algebra, the break-even point is where:

On a graph, this happens where the revenue line and the cost line intersect.

From the graph:

The solid blue line represents revenue.

The dashed blue line represents cost.

The break-even point occurs where these two lines cross.

Looking carefully at the graph, the two lines intersect at approximately:

The horizontal axis represents the number of units, meaning the number of down quilts sold.

So the person needs to sell about:

to break even.

After selling more than 6 quilts, the revenue line is above the cost line, meaning the person begins making a profit.

Answer: B

Explanation:

We are told that computer B completes 12 more tasks than computer A.

Let:

and

The phrase ''12 more than'' means add 12 to the original amount:

So, if computer A completes tasks, computer B completes:

tasks.

For example, if computer A completed 50 tasks, then computer B completed:

Therefore, the correct answer is:

Answer: D

Explanation:

The function is:

This is an exponential growth function because:

For an exponential growth function, the rate of increase becomes larger as time passes. That means later intervals usually have faster average increases than earlier intervals.

Since represents years since 2001:

The latest interval is:

Because the graph is exponential growth and is steepest later in time, this interval has the fastest average increase.

Answer: B

Explanation:

The average rate of change tells how much the output changes per one unit of input.

Here:

and

The two given points are:

and

Use the average rate of change formula:

Substitute the coordinates:

The negative sign means the number of animals is decreasing.

So the correct interpretation is:

Therefore, the correct answer is: