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WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

1. A researcher collected data on the number of annual bear sightings in a region over time. The results are shown in the scatterplot. A regression function is graphed with r^2=0.42. The predicted number of annual bear sightings after 19.5years is 62.2.

Is this prediction appropriate?

A) No. The r^2value indicates a strong fit, but x=19.5is more than 50%of the range beyond the maximum value.
B) No. The r^2value indicates a moderate fit, but x=19.5is more than 25%of the range beyond the maximum value.
C) Yes. The r^2value indicates a moderate fit, and x=19.5is within 25%of the range of the maximum value.
D) Yes. The r^2value indicates a strong fit, and x=19.5is within 50%of the range of the maximum value.

2. A researcher collected data on the number of members in a national association over time. The results are shown in the scatterplot. The graphed regression function has an r^2value of 0.54.

Is it appropriate to make a prediction for the number of members after 20.6years?

A) Yes. The r^2value indicates a moderate fit, and x=20.6is within 25%of the range of the maximum value.
B) No. The r^2value indicates a moderate fit, but x=20.6is more than 25%of the range beyond the maximum value.
C) No. The r^2value indicates a strong fit, but x=20.6is more than 50%of the range beyond the maximum value.
D) Yes. The r^2value indicates a strong fit, and x=20.6is within 50%of the range of the maximum value.

3. The function P(t)represents the daily profit, in hundreds of dollars, for a museum since opening. The graph of P(t)is shown.

What is the correct interpretation of the maximum value?

A) Approximately 20 years after opening, a maximum daily profit of approximately $1,650was earned.
B) Approximately 9.5 years after opening, a maximum daily profit of approximately $299was earned.
C) Approximately 9.5 years after opening, a maximum daily profit of approximately $1,650was earned.
D) Approximately 20 years after opening, a maximum daily profit of approximately $299was earned.

4. The function V(t)represents the number of travelers, V, in a travel depot thours after 7:00 a.m. The graph of V (t)is shown.

What does V(2)represent?

A) 2 travelers
B) 2 hours
C) 79.2 travelers
D) 79.2 hours

5. The weight of a radioactive sample is given by the function
W(x)=740× # 0.87 # ^x
where xis the time, in years, and Wis the weight of the sample, in ounces.
What is the weight of the sample when x=3?

A) 368.83oz.
B) 487.29oz.
C) 560.11oz.
D) 423.94oz.

Solutions: