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WGU Applied-Algebra Exam Syllabus Topics:

WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

1. The population of bison in a preserve can be modeled using the logistic function f(x), where x represents the number of years since the preserve was established and f(x) represents the population. The graph of f(x) is shown.

How does the bison population change as time progresses from year 7 to year 10?

A) The bison population decreases faster and faster.
B) The bison population increases slower and slower.
C) The bison population increases faster and faster.
D) The bison population decreases slower and slower.

2. The graph shows the weekly profit in hundreds of dollars for a coffee shop. The horizontal axis represents the number of years since the coffee shop opened.

What is the correct interpretation of the minimum value?

A) Approximately 6 years after opening, a minimum weekly profit of approximately $990was earned.
B) Approximately 13 years after opening, a minimum weekly profit of approximately $990was earned.
C) Approximately 6 years after opening, a minimum weekly profit of approximately $4,630was earned.
D) Approximately 13 years after opening, a minimum weekly profit of approximately $4,630was earned.

3. The scatterplot shows data on the number of visitors to a resort each week since opening. A regression function is graphed with r^2=0.99. The predicted number of visitors after 16.4weeks is 38.6.

Is this prediction appropriate?

A) Yes. The r^2value indicates a moderate fit, and x=16.4is within 25%of the range of the maximum value.
B) No. The r^2value indicates a moderate fit, but x=16.4is more than 25%of the range beyond the maximum value.
C) Yes. The r^2value indicates a strong fit, and x=16.4is within 50%of the range of the maximum value.
D) No. The r^2value indicates a strong fit, but x=16.4is more than 50%of the range beyond the maximum value.

4. 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) 163.26
B) 571.41
C) 383.81
D) 76.76

5. A factory mixes two colors, red and yellow, to create a dye.

The graph shows the relationship between the amounts of each dye, where rrepresents the amount of red dye and yrepresents the amount of yellow dye.
What is the correct interpretation of the rate of change?

A) The amount of yellow dye must be 9/2of the amount of red dye.
B) The amount of yellow dye must be the amount of red dye plus 2/9.
C) The amount of yellow dye must be 2/9of the amount of red dye.
D) The amount of yellow dye must be the amount of red dye plus 9/2.

Solutions: