WGU Updated Applied-Algebra Exam Questions and Answers by ioan

The graph represents yearly profit as a function of time:

P(t)= " yearly profit "

where:

t= " years since opening "

The graph is a downward-opening curve, so its maximum value occurs at the highest point, also called the vertex.

From the graph, the highest point occurs at approximately:

t=10.5

So the maximum yearly profit happened approximately:

10.5 " years after opening "

The vertical axis measures yearly profit in millions of dollars. From the graph, the maximum value is approximately:

1.41

Since the units are millions of dollars:

1.41×1,000,000=1,410,000

So the maximum yearly profit was approximately:

$1,410,000

Therefore, the correct answer is:

▭ ( " C " )

The function is:

P(t)=462-35t

This is a linear function in the form:

P(t)=mt+b

where:

m= " rate of change "

and

b= " initial value "

In this function:

m=-35

The negative sign means the fish population is decreasing.

The number 35tells us the amount of decrease per month.

So the fish population is decreasing by:

35 " fish per month "

The value 462is not the rate of change. It represents the starting fish population at the beginning of the year, when t=0:

P(0)=462

Therefore, the correct interpretation is:

" The number of fish in the lake is decreasing at a constant rate of 35 fish per month. "

So the correct answer is:

▭ ( " D " )

The function M(t)represents the company’s predicted market share after tyears.

The horizontal axis represents:

t= " time in years "

The vertical axis represents:

M(t)= " market share percentage "

We need to find when the company’s market share reaches:

60%

To answer this from the graph:

Locate 60on the vertical axis.

Move horizontally until reaching the blue curve.

Move downward to the horizontal axis to read the corresponding time.

From the graph, the blue curve reaches 60%a little after 6years, approximately at:

t=6.6

So the company should expect to have a market share of 60%after about:

6.6 " years "

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

Since 2023 is:

2023−2020=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:

0.57×1,050=598.5

The closest answer choice is:

598

So approximately 598 customers had fiber internet in 2023.

Therefore, the correct answer is:

C