WGU Applied-Algebra : WGU Applied Algebra FXO2 PFXP C957

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WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

1. A set of data was gathered and used to create a model for the number of subscribers to a blog. The function model is f(x)=190× # 0.99 # ^x where xrepresents the number of years since 2003 and f(x)represents the number of subscribers.
What is the correct interpretation of the average rate of change of the number of subscribers from 2012 to
2015? Round to the nearest whole number, if necessary.

A) The number of subscribers increases at an average rate of 171 subscribers per year.
B) The number of subscribers increases at an average rate of 2 subscribers per year.
C) The number of subscribers decreases at an average rate of 171 subscribers per year.
D) The number of subscribers decreases at an average rate of 2 subscribers per year.

2. The graphed function n(t)represents the number of people, n, at a park thours after 8:00 a.m. The plotted points Aand Bhave coordinates (2#110)and (6#182).

Which statement gives the correct interpretation of the average rate of change of the number of people over the interval from point Ato point B?

A) The number of people at the park decreases at an average rate of 18 per hour.
B) The number of people at the park decreases at an average rate of 9 per hour.
C) The number of people at the park increases at an average rate of 18 per hour.
D) The number of people at the park increases at an average rate of 9 per hour.

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

5. The temperature of an object changes according to the relationship in the graph.

What is the equation of the horizontal asymptote?

A) x=500
B) x=0
C) y=500
D) y=0

Solutions: