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WGU Applied-Algebra Exam Syllabus Topics:

WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

1. The graph shows functions modeling the spread of two diseases within the same population.

Which conclusion is valid?

A) Disease B affects 70% of the population before Disease A does.
B) Disease B affects 40% of the population before Disease A does.
C) Disease B affects 20% of the population before Disease A does.
D) Disease B affects 50% of the population before Disease A does.

2. After a water tank starts leaking, the amount of water in the tank is modeled by the exponential function that is graphed.

Which statement is justified considering the location of the horizontal asymptote?

A) The greatest water volume occurs after 11 minutes.
B) The rate of change in water volume quickens over time.
C) The water volume will change by a constant rate over time.
D) The water volume will not decrease to 500 gallons.

3. 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) Yes. The r2value indicates a moderate fit, and x=18.1 is within 25% of the range of the maximum value.
B) No. The r2value indicates a moderate fit, but x=18.1 is more than 25% of the range beyond the maximum value.
C) No. The r2value indicates a strong fit, but x=18.1 is more than 50% of the range beyond the maximum value.
D) Yes. The r2value indicates a strong fit, and x=18.1 is within 50% of the range of the maximum value.

4. The exponential function
f(x)=280× # 1.08 # ^x
represents the number of subscribers to a blog, where xrepresents the number of years since 2003 and f(x) represents the number of subscribers.
Which statement correctly interprets the average rate of change of the number of subscribers from 2003 to
2007? Round to the nearest whole number, if necessary.

A) The number of subscribers decreases at an average rate of 330 subscribers per year.
B) The number of subscribers increases at an average rate of 25 subscribers per year.
C) The number of subscribers decreases at an average rate of 25 subscribers per year.
D) The number of subscribers increases at an average rate of 330 subscribers per year.

5. 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 D
B) The average rate of change from point A to point C
C) The instantaneous rate of change at point C
D) The average rate of change from point C to point D

Solutions: