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WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

1. The scatterplot shows data on the population of rabbits in a nature preserve. The graphed regression function has an r^2value of 0.94.

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

A) x=0to x=24
B) Extrapolation is not appropriate because r^2 > 0.7.
C) Extrapolation is not appropriate because r^2 < 1.
D) x=-4to x=28

2. Consider the graph of h(t) shown. The function represents the height, h, in feet, of a ball t seconds after being launched.

What is the point, if any, at which the concavity changes from concave down to concave up?

A) At t=1.41
B) The graph is always concave up.
C) At t=0.705
D) The graph is always concave down.

3. 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 8/5of 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 5/8of the amount of water.

4. The number of registered voters in a district is modeled by a decreasing exponential function, where x represents the number of years since 2005 and f(x) represents the number of registered voters.

Which interval is associated with the slowest average decrease in the number of registered voters?

A) 2008 to 2023
B) 2007 to 2014
C) 2015 to 2025
D) 2005 to 2008

5. As regulations change, the number of licensed sellers of a product decreases. The graph models the change in the number of licensed sellers over time.

What does the horizontal asymptote mean?

A) The number of licensed sellers was initially 1,050.
B) After 21 months, the number of licensed sellers decreased to 300.
C) In the long run, the number of licensed sellers nears 300.
D) Over time, the number of licensed sellers will increase back up to 1,050.

Solutions: