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WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

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

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

3. A researcher collected data on the number of large donations per year to a charitable organization. The results are shown in the scatterplot. A regression function is graphed with r^2.

What is the appropriate range of x-values for extrapolation?

A) Extrapolation is not appropriate because r^2 < 1.
B) x=-3to x=21
C) x=0to x=18
D) Extrapolation is not appropriate because r^2 < 0.7.

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

5. The scatterplot shows data on the number of shirts sold at a gift shop per week over time. The graphed regression function has an r
2
value of 0.09.

Which range of x-values is appropriate for extrapolation?

A) Extrapolation is not appropriate because r
2
< 0.3.
B) x=0 to x=18
C) x=#3 to x=21
D) Extrapolation is not appropriate because r
2
< 0.7.

Solutions: