Free WGU Applied Algebra vC957,FXO2 Practice Questions

Answer : B

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

Answer : B

The function is:

Since represents the number of years since 2003:

The average rate of change from 2012 to 2015 is:

First, find :

Now find :

Now calculate the average rate of change:

Rounded to the nearest whole number:

The negative sign means the number of subscribers is decreasing.

So the correct interpretation is:

Answer : C

The table gives the percent of customers with fiber internet for each year since 2020.

Since 2023 is:

20232020=3

we use the row where:

Years since 2020=3

From the table, the percent of customers with fiber internet in 2023 is:

57%

The company has approximately:

1,050

customers each year.

Now find 57% of 1,050:

0.571,050=598.5

The closest answer choice is:

598

So approximately 598 customers had fiber internet in 2023.

Therefore, the correct answer is:

C

Answer : C

The graph represents:

where:

The question asks about the concavity of the graph between:

and

On this interval, the graph is still going upward, so the number of people is increasing.

However, the graph is beginning to flatten as it approaches its highest point. That means the slope is positive, but the slope is getting smaller.

In other words:

This is called concave down behavior. For a concave down graph that is increasing, the correct interpretation is:

Therefore, the correct answer is:

Answer : A

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.