WGU Applied-Algebra : WGU Applied Algebra FXO2 PFXP C957

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WGU Applied-Algebra Exam Syllabus Topics:

WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

1. The number of letters processed daily at a mail center is modeled by the decreasing exponential function shown in the graph.

Which value is the number of letters processed per day trending toward as time progresses, based on the equation of the horizontal asymptote?

A) 2,500
B) 17
C) 8,500
D) 4,250

2. As regulations change, the number of licensed sellers of a product decreases. The graph models the change in the number of licensed sellers over time.

What does the horizontal asymptote mean?

A) Over time, the number of licensed sellers will increase back up to 700.
B) The number of licensed sellers was initially 700.
C) In the long run, the number of licensed sellers nears 100.
D) After 11 months, the number of licensed sellers decreased to 100.

3. A researcher collected data on the number of annual bear sightings in a region over time. The results are shown in the scatterplot. A regression function is graphed with r^2=0.42. The predicted number of annual bear sightings after 19.5years is 62.2.

Is this prediction appropriate?

A) Yes. The r^2value indicates a strong fit, and x=19.5is within 50%of the range of the maximum value.
B) No. The r^2value indicates a strong fit, but x=19.5is more than 50%of the range beyond the maximum value.
C) Yes. The r^2value indicates a moderate fit, and x=19.5is within 25%of the range of the maximum value.
D) No. The r^2value indicates a moderate fit, but x=19.5is more than 25%of the range beyond the maximum value.

4. 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 decreasing 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 increasing at a constant rate of 24 fish per month.

5. The graph shows the number of books, N, checked out from a library each week. The number of weeks since the beginning of the year is on the horizontal axis, and the number of books checked out per week is on the vertical axis. Point A represents 165 books checked out in the first week, or N(0)=165. Which statement represents an accurate conclusion?
Exhibit:

A) Point B represents N(2.8)=177.
B) Point E represents N(11.2)=147.5.
C) Point D represents N(8.4)=142.5.
D) Point C represents N(5.6)=152.5.

Solutions: