Get WGU Applied Algebra Exam Practice Questions - Real and Updated

Answer : A

The regression model has:

This means the model is a very strong fit for the data because is close to .

However, a strong value does not automatically make every prediction appropriate. We also have to check whether the -value is within a reasonable extrapolation range.

The data shown on the graph appear to extend to about:

The prediction is for:

This is far beyond the observed data range. Even though the model fits the known data very well, predicting too far beyond the data can be unreliable.

The correct statement is that the value indicates a strong fit, but is more than of the range beyond the maximum observed value.

Therefore, the correct answer is:

Answer : D

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

Slow growth at the beginning (near point A)

Rapid growth in the middle (near point B and C)

Slowing growth at the end (near point D)

Key Concept:

Instantaneous rate of change = slope of the tangent line at a single point

Average rate of change = slope between two points

Analyze the graph:

At point A slope is small (slow increase)

From A to C increasing but not maximum

At point C curve is steepest maximum slope

From C to D curve flattens smaller slope

At point D slope is very small (almost flat)

Conclusion:

The greatest rate of change occurs where the graph is steepest, which is at:

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 : 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

From to about , the graph is increasing, but it is becoming less steep as it approaches a local maximum.

That means the number of customers is:

After the local maximum, from about to , the graph begins to decrease and becomes steeper downward.

That means the number of customers is:

So the full description is:

Therefore, the correct answer is: