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WGU Applied-Algebra Exam Syllabus Topics:

WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

1. The exponential function
f(t)=2900(1.13)
t
represents the size of a bacteria population, where t is the time in hours.
How many bacteria are in the population when t=18?

A) 20,495
B) 26,170
C) 29,573
D) 23,160

2. A researcher collected data on the number of daily posts on a blog. The results are shown in the scatterplot.
The graphed regression function has an r
2
value of 0.89.

Is it appropriate to make a prediction for the number of daily posts after 18.6 months?

A) No. The r2value indicates a moderate fit, but x=18.6 is more than 25% of the range beyond the maximum value.
B) Yes. The r2value indicates a strong fit, and x=18.6 is within 50% of the range of the maximum value.
C) Yes. The r2value indicates a moderate fit, and x=18.6 is within 25% of the range of the maximum value.
D) No. The r2value indicates a strong fit, but x=18.6 is more than 50% of the range beyond the maximum value.

3. 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 185 fish per month.
B) The number of fish in the lake is decreasing at a constant rate of 24 fish per month.
C) The number of fish in the lake is increasing at a constant rate of 24 fish per month.
D) The number of fish in the lake is decreasing at a constant rate of 185 fish per month.

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

What is the long-term trend in the number of letters processed per day, based on the equation of the horizontal asymptote?

A) 1,000
B) 2,250
C) 25
D) 4,500

5. 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 moderate fit, and x=18.1 is within 25% of the range of the maximum value.
C) Yes. The r2value indicates a strong fit, and x=18.1 is within 50% 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.

Solutions: