WGU Applied-Algebra Exam Dumps

This situation can be modeled with a linear relationship because each box has the same weight.

We are given:

and

The weight increases because more boxes are added.

First, find the change in total weight:

Then find the change in the number of boxes:

Since 5 additional boxes increased the total weight by 45 pounds, the weight of each box is:

So each box weighs:

Check:

If each box weighs 9 pounds, then adding 5 more boxes adds:

This matches the given information.

The graph shows weekly profit as a function of time.

The horizontal axis represents:

The vertical axis represents:

The graph is an upward-opening curve, so its minimum value occurs at the lowest point, called the vertex.

From the graph, the lowest point occurs at approximately:

So the minimum weekly profit happened approximately:

The vertical value at this point is approximately:

Since the profit is measured in hundreds of dollars:

So the minimum weekly profit was approximately:

Therefore, the correct answer is:

We are told that the number of people expected to audition this year is 4 times the number of people who auditioned last year.

Let:

t=number of people who auditioned last year

and

A(t)=number of people expected to audition this year

Since this year's number is 4 times last year's number, the function is:

A(t)=4t

The question says that 330 people auditioned last year, so:

t=330

Now substitute 330 into the function:

A(330)=4(330)

A(330)=1320

So, the correct function notation is:

A(330)=1,320

This means: when 330 people auditioned last year, 1,320 people are expected to audition this year.

Therefore, the correct answer is:

B

This question asks which town's population is growing at a faster rate.

Since both population graphs are straight lines, we compare their slopes.

The slope of a line represents the rate of change:

From the graph:

Town A starts at about thousand people and increases at a rate of about thousand people per year.

Town B starts at about thousand people and increases at a rate of about thousand people per year.

Even though Town A starts with a larger population, the question asks about the growth rate, not the starting population.

Compare the rates:

So Town B is growing faster than Town A.

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: