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WGU Applied-Algebra Exam Syllabus Topics:

WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

1. The logistic function f(x), whose graph is shown, models the number of people with a viral infection, where x represents the number of days since the outbreak of the virus and f(x) represents the number of viral infections.

What happens as time progresses from day 9 to day 12?

A) The number of people with the virus increases slower and slower.
B) The number of people with the virus decreases slower and slower.
C) The number of people with the virus decreases faster and faster.
D) The number of people with the virus increases faster and faster.

2. 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 35 fish per month.
B) The number of fish in the lake is increasing at a constant rate of 462 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.

3. The value of a collectible artifact is represented by the function
f(x)=330× # 1.15 # ^x
In this function, xrepresents the number of years since 2005, and f(x)represents the value of the artifact, in dollars.
Which value represents the average yearly rate of change of the value of the artifact from 2006 to 2011?

A) 383.81
B) 163.26
C) 76.76
D) 571.41

4. A researcher collected data on the average number of product returns per month to a company over time. The results are shown in the scatterplot. The graphed regression function has an r
2
value of 0.45.

Which range of x-values is appropriate for extrapolation?

A) x=3 to x=21
B) Extrapolation is not appropriate because r
2
< 1.
C) x=0 to x=24
D) Extrapolation is not appropriate because r
2
< 0.7.

5. 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) 17
B) 8,500
C) 2,500
D) 4,250

Solutions: