WGU Applied Algebra FXO2 PFXP C957 Applied Algebra Exam Questions

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 : D

The graph shows customer visits by day.

To determine which days likely featured new releases, we should look for the days with unusually high customer counts.

From the graph:

Day 8 has about customers.

Day 11 also has about customers.

These are the highest values shown on the graph.

Since the problem says more customers show up on days when new releases are featured, the days with the highest customer counts are the most likely new-release days.

Therefore, the correct answer is:

Answer : A

The scatterplot shows data collected over time, and a regression curve is used to model the pattern.

Extrapolation means using a model to make predictions slightly outside the observed data range. In Applied Algebra, extrapolation can be appropriate when:

and the predicted -values are not too far outside the observed data.

From the scatterplot, the data points appear to run approximately from:

So the observed data range is about:

A reasonable extrapolation range extends a little beyond the data, but not too far. The interval:

extends about 3 units beyond each side of the observed data, which is reasonable.

The interval:

extends much farther beyond the data and would be less reliable.

Also, does not have to equal exactly 1 for extrapolation to be useful. A value less than 1 can still represent a strong model.

Therefore, the correct answer is:

Answer : D

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

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 : 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 : C

The graph represents:

where:

We need to interpret the concavity between:

and

On this interval, the graph is rising, so the number of players is increasing.

But as the graph rises, it begins to level off near the top. This means the rate of increase is getting smaller.

So the number of players is not increasing faster and faster. Instead, it is increasing, but more slowly as time passes.

That means the graph is concave down on this interval.

The correct interpretation is: