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

Question 1

A person makes down quilts to sell.

The graph shows the functions that model the cost and revenue.
How many down quilts need to sell to break even/start making a profit?

A. 8

B. 6

C. 10

D. 2

Correct Answer: B

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Question 2

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 3

The graphed function n(t)represents the number of people, n, at a park thours after 8:00 a.m. The plotted points Aand Bhave coordinates (2#110)and (6#182).

Which statement gives the correct interpretation of the average rate of change of the number of people over the interval from point Ato point B?

A. The number of people at the park increases at an average rate of 18 per hour.

B. The number of people at the park decreases at an average rate of 18 per hour.

C. The number of people at the park decreases at an average rate of 9 per hour.

D. The number of people at the park increases at an average rate of 9 per hour.

Correct Answer: A

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Question 4

The function f(n) represents the relationship between the distances traveled by two vehicles, where n is the distance traveled by vehicle A and f is the distance traveled by vehicle B. The distance traveled by vehicle B is 17 more than the distance traveled by vehicle A.
Which function represents this situation?

A. f(n)=n+17

B. f(n)=17n

C. f(n)=n#17

D. f(n)=n/17

Correct Answer: A

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Question 5

The function N(t)models the number of subscribers to a virtual newsletter over time. The graph of N(t)is shown. The horizontal axis represents the number of years since the newsletter started, and the vertical axis represents the number of subscribers, in thousands.

How is the number of subscribers changing over time based on the graph?

A. The number of subscribers is increasing faster and faster.

B. The number of subscribers is decreasing slower and slower.

C. The number of subscribers is increasing slower and slower.

D. The number of subscribers is decreasing faster and faster.

Correct Answer: A

Explanation: Only visible for TestSimulate members. You can sign-up / login (it's free).

Question 6

The population of fish in a lake is changing according to the function
P(t)=462-35t
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 462 fish per month.

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

C. The number of fish in the lake is decreasing at a constant rate of 462 fish per month.

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

Correct Answer: D

Explanation: Only visible for TestSimulate members. You can sign-up / login (it's free).

Question 7

The number of daily raffle tickets sold, R(d), for a fundraiser is represented by the graph, with the number of days since the beginning of the month along the horizontal axis and the number of raffle tickets sold for the day along the vertical axis.

How can the concavity be described from d=0to d=4.4?

A. The number of raffle tickets increases slower and slower and then decreases faster and faster.

B. The number of raffle tickets decreases faster and faster and then decreases slower and slower.

C. The number of raffle tickets decreases slower and slower and then increases faster and faster.

D. The number of raffle tickets decreases slower and slower and then decreases faster and faster.

Correct Answer: C

Explanation: Only visible for TestSimulate members. You can sign-up / login (it's free).

Question 8

The function p(t)represents the number of active players, p, in a game thours after 11:00 a.m. The graph of p(t) is shown.

What is one example of an interval for which the number of players is decreasing faster and faster?

A. t=8.7to t=10.7

B. t=1.2to t=5.3

C. t=11.2to t=11.5

D. t=8.6to t=9.0

Correct Answer: C

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Question 9

The graph shows the weekly profit in hundreds of dollars for a coffee shop. The horizontal axis represents the number of years since the coffee shop opened.

What is the correct interpretation of the minimum value?

A. Approximately 6 years after opening, a minimum weekly profit of approximately $990was earned.

B. Approximately 13 years after opening, a minimum weekly profit of approximately $4,630was earned.

C. Approximately 6 years after opening, a minimum weekly profit of approximately $4,630was earned.

D. Approximately 13 years after opening, a minimum weekly profit of approximately $990was earned.

Correct Answer: A

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Question 10

The graph shows the number of people at an event venue after 3:00 p.m., in thousands.
Which rate of change is the greatest?

A. The instantaneous rate of change at point C

B. The average rate of change from point A to point C

C. The instantaneous rate of change at point D

D. The average rate of change from point C to point D

Correct Answer: A

Explanation: Only visible for TestSimulate members. You can sign-up / login (it's free).

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