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WGU Applied-Algebra Exam Syllabus Topics:

WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

1. 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 strong fit, but x=18.1 is more than 50% 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 moderate fit, but x=18.1 is more than 25% of the range beyond the maximum value.

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

3. 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)=277
B) A(283)=280
C) A(277)=280
D) A(280)=283

4. The values, in dollars, of two accounts over time are modeled by
A_1 (t)=6,500× # 1.05 # ^t
and
A_2 (t)=3,000× # 0.96 # ^t
The variable tis measured in years.
What is the difference between the accounts after 3 years?

A) The value of Account 1 is about $2,654greater than the value of Account 2.
B) The value of Account 1 is about $2,654less than the value of Account 2.
C) The value of Account 1 is about $4,870less than the value of Account 2.
D) The value of Account 1 is about $4,870greater than the value of Account 2.

5. 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) 26,170
B) 23,160
C) 20,495
D) 29,573

Solutions: