WGU Applied Algebra FXO2 PFXP C957 (Applied-Algebra) Free Practice Test

Question 1

A researcher collected data on the traffic frequency on a section of road. The results are shown in the scatterplot. A regression function is graphed with r^2=0.96. The predicted traffic frequency 16.2 hours after dawn is 70 cars per minute.

Is this prediction appropriate?

A. Yes. The r^2value indicates a moderate fit, and x=16.2is within 25%of the range of the maximum value.

B. Yes. The r^2value indicates a strong fit, and x=16.2is within 50%of the range of the maximum value.

C. No. The r^2value indicates a moderate fit, but x=16.2is more than 25%of the range beyond the maximum value.

D. No. The r^2value indicates a strong fit, but x=16.2is more than 50%of the range beyond the maximum value.

Correct Answer: B

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Question 2

The number of registered voters in a district is modeled by a decreasing exponential function, where x represents the number of years since 2005 and f(x) represents the number of registered voters.

Which interval is associated with the slowest average decrease in the number of registered voters?

A. 2005 to 2008

B. 2007 to 2014

C. 2008 to 2023

D. 2015 to 2025

Correct Answer: D

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Question 3

Consider the function
w(t)=0.03t^4-0.81t^3+7.55t^2-26.62t+44
which represents the number of workers, w, at a job site thours after 6:00 a.m.
What is the difference between w(4)and w(8)?

A. Approximately 4 workers

B. Approximately 8 hours

C. Approximately 8 workers

D. Approximately 4 hours

Correct Answer: C

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Question 4

The graph shows the value, O, in dollars, of an investment account over time.

What represents the value of the account after 8 years?

A. $476.54

B. $1,028.81

C. $2,221.12

D. $700.19

Correct Answer: C

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Question 5

The number of property sales in a region this year is expected to be 6 less than the number of property sales in the region last year. The function H(x)represents the number of property sales this year, where xrepresents the number of properties sold last year.
Which notation represents the number of property sales this year, given that the number of properties sold last year was 330?

A. H(336)=330

B. H(330)=336

C. H(330)=324

D. H(324)=330

Correct Answer: C

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Question 6

The weekly number of players, P, in hundreds, on a gaming website is modeled by the graph. The horizontal axis shows the number of years since the website was launched.

When did the website reach the minimum weekly number of players?

A. Approximately 2 years after the website was launched

B. Approximately 4 years after the website was launched

C. Approximately 12 years after the website was launched

D. Approximately 11 years after the website was launched

Correct Answer: B

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Question 7

The value of a collectible coin can be modeled by F(t), where t represents years since the number of years since the coin was found, and the vertical axis represents the value, in thousands of dollars.

How is the value of the coin changing over time based on the graph?

A. The value of the coin is decreasing faster and faster.

B. The value of the coin is increasing faster and faster.

C. The value of the coin is decreasing slower and slower.

D. The value of the coin is increasing slower and slower.

Correct Answer: B

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Question 8

The scatterplot shows data on the population of rabbits in a nature preserve. The graphed regression function has an r^2value of 0.94.

What is the appropriate range of x-values for extrapolation?

A. Extrapolation is not appropriate because r^2 < 1.

B. x=-4to x=28

C. Extrapolation is not appropriate because r^2 > 0.7.

D. x=0to x=24

Correct Answer: D

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Question 9

The population of fish in a lake is changing according to the function
P(t)=24t+185
where tis the number of months since the beginning of the year and P(t)is the fish population at time t.
Which interpretation of the rate of change is correct?

A. The number of fish in the lake is increasing at a constant rate of 24 fish per month.

B. The number of fish in the lake is increasing at a constant rate of 185 fish per month.

C. The number of fish in the lake is decreasing at a constant rate of 185 fish per month.

D. The number of fish in the lake is decreasing at a constant rate of 24 fish per month.

Correct Answer: A

Question 10

The function P(t) represents the yearly profit, in millions of dollars, for a clothing store since opening. The graph of P(t) is shown.

How should the maximum value be interpreted?

A. Approximately 10.5 years after opening, a maximum yearly profit of approximately $2.25 was earned.

B. Approximately 16 years after opening, a maximum yearly profit of approximately $2.25 was earned.

C. Approximately 10.5 years after opening, a maximum yearly profit of approximately $2,250,000 was earned.

D. Approximately 16 years after opening, a maximum yearly profit of approximately $2,250,000 was earned.

Correct Answer: C

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WGU Applied Algebra FXO2 PFXP C957 (Applied-Algebra) Free Practice Test