WGU Applied Algebra (C957) Exam Questions

Answer : A

We are told that this year's number of property sales is 6 less than last year's number of property sales.

Let:

and

Since this year's sales are 6 less than last year's sales, the function rule is:

The question says that the number of properties sold last year was:

Substitute into the function:

So the notation that correctly represents the number of property sales this year is:

This means: if 330 properties were sold last year, then 324 properties are expected to be sold this year.

Answer : A

The graph shows the water volume decreasing over time.

The vertical axis represents:

The horizontal axis represents:

The graph is an exponential decay curve. It decreases quickly at first, then levels off.

From the graph, the curve approaches a horizontal value near:

This means the horizontal asymptote is approximately:

Since the graph approaches 1,000 gallons, it will not decrease to 500 gallons according to this model.

The water volume does not change by a constant rate because exponential functions do not have constant additive change. Also, the graph decreases fastest at the beginning, not later.

Answer : C

We are told that supervisor B has 13 more employees than supervisor A.

Let:

and

The phrase ''13 more than'' means we add 13:

So, if supervisor A has employees, supervisor B has 13 additional employees.

For example, if supervisor A had 20 employees, then supervisor B would have:

Therefore, the correct answer is:

Answer : B

This question asks for the cost of each additional shirt, which means we need to find the rate of change of the linear function.

On a graph, the rate of change is the slope:

From the graph, two labeled points are:

and

This means:

When shirts are ordered, the cost is .

When shirts are ordered, the cost is .

Now find the slope:

So the cost increases by:

for each additional shirt.

The represents a fixed starting cost, not the cost per shirt.

Answer : D

The scatterplot shows a decreasing pattern.

At first, the number of monthly crossings decreases quickly. Then the values begin to level off.

This type of pattern is characteristic of an exponential decay model.

A linear model would show points decreasing at a constant rate, forming an approximately straight line. Here, the decrease is not constant; it is steep at first and then slows down.

A logistic model usually has an S-shaped pattern, which is not shown here.

A polynomial model may curve, but the long-term leveling behavior shown in the scatterplot is best represented by an exponential decay function.

Therefore, the correct answer is:

Answer : A

The function is:

This is an exponential decay function because the base is between 0 and 1:

So the number of registered voters is decreasing over time.

Since represents the number of years since 2001:

To determine the fastest average decrease, compare the average rates of change. A faster decrease means the average rate of change is more negative.

For 2001 to 2007:

So from 2001 to 2007, the number of registered voters decreased by about:

For 2007 to 2008:

For 2008 to 2021:

For 2009 to 2012:

Now compare the decreases:

The most negative rate is:

That means the fastest average decrease happened from:

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: