Applied-Algebra exam collection: WGU Applied Algebra FXO2 PFXP C957 & Applied-Algebra torrent VCE

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WGU Applied-Algebra Exam Syllabus Topics:

Section	Objectives
Topic 1: Linear Functions	- Interpret rates of change for linear functions - Interpret inputs and outputs of linear functions
Topic 2: Functions and Algebra of Functions	- Derive conclusions based on graphs - Derive conclusions based on notation - Derive conclusions based on data
Topic 3: Polynomial Functions	- Interpret concavity for polynomial functions - Interpret inputs and outputs for polynomial functions - Interpret rates of change for polynomial functions
Topic 4: Graphical Depictions	- Interpret rates of change for situations - Interpret concavity for situations - Interpret asymptotes for situations - Interpret maximum and minimum for situations - Interpret inputs and outputs for situations
Topic 5: Exponential Functions	- Interpret rates of change for exponential functions - Interpret concavity for exponential functions - Interpret inputs and outputs for exponential functions
Topic 6: Logistic Functions	- Interpret inputs and outputs for logistic functions - Interpret asymptotes for logistic functions - Interpret rates of change for logistic functions
Topic 7: Validity of Models	- Determine validity - Determine fit - Examine utility

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WGU Applied Algebra FXO2 PFXP C957 Sample Questions (Q58-Q63):

NEW QUESTION # 58
The graph shows the number of customers visiting a bookstore, where the number of days since the beginning of the month is along the horizontal axis and the number of customers visiting the bookstore each day is along the vertical axis. More customers show up to the store on days when new releases are featured than on other days.

Which days likely featured new releases?

A. New releases were likely featured on days 8 and 11.
B. New releases were likely featured on only day 5.
C. New releases were likely featured on days 5 and 10.
D. New releases were likely featured on only day 8.

Answer: A

Explanation:
The graph shows customer visits by day.
To determine which days likely featured new releases, we should look for the days with unusually high customer counts.
From the graph:
Day 8 has about 40customers.
Day 11 also has about 40customers.
These are the highest values shown on the graph.
Since the problem says more customers show up on days when new releases are featured, the days with the highest customer counts are the most likely new-release days.
Therefore, the correct answer is:
# ( " D " )

NEW QUESTION # 59
The populations, in thousands, of two towns are shown in the graph, where the horizontal axis measures the time in years.

Which town's population is growing at a faster rate?

A. Town B, because 1.6 > 0.9
B. Town A, because 8.0 > 6.5
C. Town B, because 8.0 > 6.5
D. Town A, because 1.6 > 0.9

Answer: A

Explanation:
The graph compares the populations of two towns over time.
The horizontal axis represents:
" Time in years "
The vertical axis represents:
" Population in thousands "
The graph shows:
Town A as the solid blue line.
Town B as the dashed blue line.
To determine which town's population is growing faster, we compare the slopes of the two lines.
In Applied Algebra, the slope of a line represents the rate of change:
" slope " = " change in population " / " change in time "
From the graph:
" Town A grows at about " 0.9 " thousand people per year "
" Town B grows at about " 1.6 " thousand people per year "
Now compare the growth rates:
1.6 > 0.9
So Town B's population is growing at a faster rate.
The values 8.0and 6.5describe starting populations, not growth rates. Since the question asks about growing at a faster rate, we must compare the slopes.

NEW QUESTION # 60
The function P(t)represents the yearly profit, in millions of dollars, for a streaming service since opening. The graph of P(t)is shown.

What is the correct interpretation of the maximum value?

A. Approximately 22 years after opening, a maximum yearly profit of approximately $235,000was earned.
B. Approximately 10.5 years after opening, a maximum yearly profit of approximately $1,410,000was earned.
C. Approximately 10.5 years after opening, a maximum yearly profit of approximately $235,000was earned.
D. Approximately 22 years after opening, a maximum yearly profit of approximately $1,410,000was earned.

Answer: B

Explanation:
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 " )

NEW QUESTION # 61
The number of employees under supervisor B is 13 more than the number of employees under supervisor A.
Let F(n)represent the number of employees under the two supervisors, where nis the number of employees under supervisor A and Fis the number of employees under supervisor B.
Which is the correct function to represent this relationship?

A. F(n)=n-13
B. F(n)=n/13
C. F(n)=13n
D. F(n)=n+13

Answer: D

Explanation:
We are told that supervisor B has 13 more employees than supervisor A.
Let:
n= " number of employees under supervisor A "
and
F(n)= " number of employees under supervisor B "
The phrase "13 more than" means we add 13:
F(n)=n+13
So, if supervisor A has nemployees, supervisor B has 13 additional employees.
For example, if supervisor A had 20 employees, then supervisor B would have:
F(20)=20+13=33
Therefore, the correct answer is:
# ( " C " )

NEW QUESTION # 62
The data in the scatterplot represents the number of people working at a research station over time. The graphed regression function has an r
2
value of 0.96. The predicted number of people working at the research station after 18.1 years is 541.

Is this prediction appropriate?

A. No. The r2value indicates a moderate fit, but x=18.1 is more than 25% of the range beyond the maximum value.
B. Yes. The r2value indicates a strong fit, and x=18.1 is within 50% of the range of the maximum value.
C. Yes. The r2value indicates a moderate fit, and x=18.1 is within 25% of the range of the maximum value.
D. No. The r2value indicates a strong fit, but x=18.1 is more than 50% of the range beyond the maximum value.

Answer: D

Explanation:
The value r2=0.96 indicates a strong regression fit because it is very close to 1. A strong fit supports prediction better than a weak or moderate fit. However, prediction also depends on whether the x-value is within a reasonable extrapolation range. The prediction is made at x=18.1, which is beyond the maximum observed x-value in the scatterplot. Even though the model fits the data well, the prediction is too far beyond the observed data range.
For a strong model, extrapolation should not go more than about 50% of the range beyond the maximum value. Since x=18.1 exceeds that limit, the prediction is not appropriate. Therefore, the correct answer is B.

NEW QUESTION # 63
......

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