WGU Applied Algebra FXO2 PFXP C957 Applied Algebra Exam Questions

Answer : C

Since represents the number of years since 2003:

The average rate of change from 2003 to 2007 is:

Find :

Find :

Now calculate:

Rounded to the nearest whole number:

Since the value is positive, the number of subscribers is increasing.

So the correct interpretation is:

Therefore, the correct answer is:

Answer : A

The function is:

This is a linear function in the form:

For a linear function, the average rate of change over any interval is the same as the slope.

The slope is the coefficient of :

So the price increases at a constant rate of:

We can also verify using the average rate of change formula:

Find :

Find :

Now calculate:

Answer : B

The graph shows the weekly number of players on a gaming website.

The horizontal axis represents:

The vertical axis represents:

The graph is an upward-opening curve, so the minimum value occurs at the lowest point of the graph.

From the graph, the lowest point occurs at approximately:

This means the website reached its minimum weekly number of players approximately:

Therefore, the correct answer is:

Answer : B

The average rate of change tells us how much the output changes, on average, for each 1-unit increase in the input.

Here:

and

From the graph, point is approximately:

and point is approximately:

Now use the average rate of change formula:

Substitute the values:

Rounded to two decimal places:

The negative sign means the estimated wait time is decreasing from point to point .

So the average rate of change is approximately:

Answer : D

This question asks us to identify a correct conclusion from the graph.

The vertical axis represents:

The horizontal axis represents:

From the graph, the lowest point occurs at the far right, around:

The corresponding number of homework problems is approximately:

So the minimum number of daily homework problems is , and it occurs at day .

Therefore, the correct answer is:

Answer : C

We are told that the number of property sales this year is expected to be 8 times the number of property sales last year.

Let:

and

Since this year's sales are 8 times last year's sales, the function rule is:

The question says that last year's property sales were:

Substitute into the function:

So the correct notation is:

This means: if 360 properties were sold last year, then 2,880 property sales are expected this year.

Therefore, the correct answer is:

Answer : D

The contractor charges a flat rate plus a fixed rate per hour, so this situation is modeled by a linear function:

where:

and

We are given two points:

and

These mean:

A 3-hour job costs .

A 5-hour job costs .

First, find the hourly rate using slope:

So the contractor charges:

Now the function has the form:

Use the point to find the flat rate:

So the function is:

Check with :

This matches the given information.