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WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

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

2. The number of comments on a social media post is represented by the logistic function f(x), whose graph is shown, where xrepresents the number of days since the post was created and f(x)represents the number of comments on day x.

How does the number of comments change as time progresses from day 1 to day 17?

A) The number of comments increases slower and slower.
B) The number of comments decreases faster and faster.
C) The number of comments decreases slower and slower.
D) The number of comments increases faster and faster.

3. The figure displays the graphs of two functions representing the heights, h_1and h_2, in feet, of two balls tseconds after being launched.

Which ball was lower 0.9seconds after being launched?

A) Ball 1, because the height of ball 2 is less than the height of ball 1 at t=0.9.
B) Ball 2, because the height of ball 2 is less than the height of ball 1 at t=0.9.
C) Ball 2, because the height of ball 1 is less than the height of ball 2 at t=0.9.
D) Ball 1, because the height of ball 1 is less than the height of ball 2 at t=0.9.

4. The populations, in thousands, of two towns are shown in the graph, where the horizontal axis measures the time in years.

Which town's population is growing at a faster rate?

A) Town A, because 1.6 > 0.9
B) Town B, because 1.6 > 0.9
C) Town B, because 8.0 > 6.5
D) Town A, because 8.0 > 6.5

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

Solutions: