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WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

1. A researcher collected data on the traffic frequency on a section of road. The results are shown in the scatterplot. A regression function is graphed with r^2=0.96. The predicted traffic frequency 16.2 hours after dawn is 70 cars per minute.

Is this prediction appropriate?

A) No. The r^2value indicates a strong fit, but x=16.2is more than 50%of the range beyond the maximum value.
B) Yes. The r^2value indicates a moderate fit, and x=16.2is within 25%of the range of the maximum value.
C) No. The r^2value indicates a moderate fit, but x=16.2is more than 25%of the range beyond the maximum value.
D) Yes. The r^2value indicates a strong fit, and x=16.2is within 50%of the range of the maximum value.

2. The function
c(t)=-0.01t^4+0.25t^3-2.33t^2+9.02t+8
represents the number of active shopping carts, c, on a website thours after 8:00 a.m.
What is the difference between c(6)and c(8)?

A) Approximately 2 hours
B) Approximately 1 active cart
C) Approximately 1 hour
D) Approximately 2 active carts

3. The logistic function f(x), whose graph is shown, models the number of people with a viral infection, where x represents the number of days since the outbreak of the virus and f(x) represents the number of viral infections.

What happens as time progresses from day 9 to day 12?

A) The number of people with the virus increases slower and slower.
B) The number of people with the virus increases faster and faster.
C) The number of people with the virus decreases faster and faster.
D) The number of people with the virus decreases slower and slower.

4. The population of fish in a lake is changing according to the function P(t)=31t+438, where t is the number of months since the beginning of the year and P(t) is the fish population at time t. Which interpretation of the rate of change is correct?

A) The number of fish in the lake is increasing at a constant rate of 31 fish per month.
B) The number of fish in the lake is decreasing at a constant rate of 31 fish per month.
C) The number of fish in the lake is increasing at a constant rate of 438 fish per month.
D) The number of fish in the lake is decreasing at a constant rate of 438 fish per month.

5. The number of people, P, in a festival audience is represented by the graph, with the number of hours since the beginning of the festival along the horizontal axis and the size of the audience along the vertical axis.

Point Arepresents an audience size of 402 for the first hour of the festival, or P(0)=402.
Which ordered pair represents a point on the graph?

A) (10#407)
B) (8#409)
C) (2#401)
D) (4#404)

Solutions: