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WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

1. The number of people auditioning for a game show is expected to be 3 less than the number of people who auditioned last year. The function A(t)can be used to model the situation, where trepresents the number of people who auditioned last year and Arepresents the number of people expected to audition this year.
Which quantity represents the number of people expected to audition this year, given that 280 people auditioned last year?

A) A(280)=283
B) A(283)=280
C) A(280)=277
D) A(277)=280

2. A recipe calls for a constant ratio of water and lemon juice. The graph shows the relationship between the amounts of these two ingredients, where wis the volume of water and lis the volume of lemon juice.

What is the correct interpretation of the rate of change?

A) The amount of lemon juice must be 5/8of the amount of water.
B) The amount of lemon juice must be 8/5of the amount of water.
C) The amount of lemon juice must be the amount of water plus 8/5.
D) The amount of lemon juice must be the amount of water plus 5/8.

3. The number of acres affected by an invasive species can be modeled using the logistic function f(x), where xrepresents the number of months since the species was introduced and f(x)represents the number of affected acres. The graph of f(x)is shown.

What happens as time progresses from month 2 to month 6?

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

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 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.

5. 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 8.0 > 5.5
B) Town B, because 1.3 > 1.0
C) Town A, because 1.3 > 1.0
D) Town B, because 8.0 > 5.5

Solutions: