Applied-Algebra Exam Dumps and Practice Questions

The graph compares the spread of two viruses over time.

The horizontal axis represents:

The vertical axis represents:

The graph shows:

Virus A as the solid blue curve.

Virus B as the dashed blue curve.

To determine which statement is correct, compare when each virus reaches the same population percentage.

At , Virus A reaches that level earlier than Virus B. The solid curve is already at before the dashed curve reaches .

However, for higher percentages like and , Virus B reaches those levels before Virus A because the dashed curve becomes steeper and rises above the solid curve after about .

So the correct conclusion is:

Therefore, the correct answer is:

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:

The graph models the number of widgets the manufacturing team can produce each day.

The horizontal axis represents:

The vertical axis represents:

The two labeled points are:

and

This means:

On day 16, the team could produce about widgets per day.

On day 18, the team could produce about widgets per day.

The average rate of change is:

Rounded to the nearest tenth:

So from day 16 to day 18, the team's production increased by an average of about:

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:

The graph shows the queue size changing over time.

The horizontal axis represents:

The vertical axis represents:

The graph is a decreasing exponential curve. It starts near people and decreases quickly at first. Then the curve begins to flatten near:

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

Here, the graph approaches the horizontal line:

This means that as time passes, the number of people in the virtual queue gets closer and closer to .

It does not mean the queue decreases to , because the graph levels off near , not near .

Therefore, the correct interpretation is: