WGU Applied Algebra FXO2 PFXP C957 Applied Algebra Exam Questions

Answer : D

The graph shows a linear relationship between:

and

The line passes through the origin, so the relationship has the form:

where is the rate of change.

From the graph, a clear point on the line is approximately:

This means when there are 8 cups of water, there are 5 cups of lemon juice.

The rate of change is:

So the relationship is:

This means the amount of lemon juice must be:

of the amount of water.

Answer : B

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

The horizontal axis represents:

The vertical axis represents:

The curve is decreasing quickly at first and then begins to level off. This is the shape of an exponential decay function.

A horizontal asymptote is a horizontal line that the graph approaches as time increases.

Because a horizontal asymptote is a horizontal line, its equation must have the form:

From the graph, the temperature approaches about:

So the horizontal asymptote is:

This means the object's temperature gets closer and closer to over time.

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:

Answer : D

This graph represents a logistic growth function, which has an S-shaped curve.

Key behavior of logistic functions:

Initial phase (early time) growth is slow

Middle phase growth speeds up (increasing rate)

Later phase growth slows down as it approaches a maximum

Analyze the interval from day 1 to day 17:

This interval is in the early part of the graph.

The curve is increasing and getting steeper over this range.

That means the rate of increase is growing over time.

So, the number of comments is:

Answer : A

This question asks us to compare the heights of two balls at a specific time:

The graph shows:

Ball 1 as the solid blue curve.

Ball 2 as the dashed blue curve.

To determine which ball was lower at , we look at the vertical positions of both curves when the time is seconds.

At approximately :

This means Ball 1 is lower than Ball 2 at that time.

The correct reasoning must say both:

Ball 1 was lower, and

Ball 1's height was less than Ball 2's height at .

That matches option A.

Answer : B

From the graph, the horizontal axis represents:

The vertical axis represents:

Point is approximately at:

Point is approximately at:

The average rate of change from point to point is calculated using:

Substitute the values:

Rounded to two decimal places:

So, the wait time decreases by about:

Answer : A

This situation can be modeled using a linear relationship because each sack has the same weight.

We are given:

After sacks are removed, the total weight is pounds.

After sacks are removed, the total weight is pounds.

From 3 sacks removed to 6 sacks removed, the number of removed sacks increases by:

During that time, the total weight decreases from pounds to pounds:

So removing 3 additional sacks decreases the total weight by 15 pounds.

Now divide to find the weight of one sack:

So each sack weighs:

Check:

If 3 more sacks are removed and each sack weighs 5 pounds, the total weight should decrease by:

This matches the given information.