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WGU Applied-Algebra Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Polynomial Functions | - Interpret concavity for polynomial functions - Interpret inputs and outputs for polynomial functions - Interpret rates of change for polynomial functions |
| Exponential Functions | - Interpret inputs and outputs for exponential functions - Interpret concavity for exponential functions - Interpret rates of change for exponential functions |
| Graphical Depictions | - Interpret maximum and minimum for situations - Interpret rates of change for situations - Interpret inputs and outputs for situations - Interpret asymptotes for situations - Interpret concavity for situations |
| Functions and Algebra of Functions | - Derive conclusions based on notation - Derive conclusions based on graphs - Derive conclusions based on data |
| Linear Functions | - Interpret inputs and outputs of linear functions - Interpret rates of change for linear functions |
| Logistic Functions | - Interpret asymptotes for logistic functions - Interpret inputs and outputs for logistic functions - Interpret rates of change for logistic functions |
| Validity of Models | - Examine utility - Determine fit - Determine validity |
WGU Applied Algebra FXO2 PFXP C957 Sample Questions:
Question 1
The populations, in thousands, of two towns are shown in the graph, where the horizontal axis measures the time in years.
Which town's population is growing at a faster rate?
A. Town A, because 1.3 > 1.1
B. Town B, because 6.5 > 5.5
C. Town A, because 6.5 > 5.5
D. Town B, because 1.3 > 1.1
Question 2
The logistic function f(x), whose graph is shown, models the number of registrants for an academic conference, where x represents the number of weeks since registration opened and f(x) represents the number of registrants.
How does the number of registrants change as time progresses from week 1 to week 7?
A. The number of registrants increases faster and faster.
B. The number of registrants decreases slower and slower.
C. The number of registrants decreases faster and faster.
D. The number of registrants increases slower and slower.
Question 3
The function P(t)represents the yearly profit, in millions of dollars, for a streaming service since opening. The graph of P(t)is shown.
What is the correct interpretation of the maximum value?
A. Approximately 22 years after opening, a maximum yearly profit of approximately $1,410,000was earned.
B. Approximately 10.5 years after opening, a maximum yearly profit of approximately $1,410,000was earned.
C. Approximately 22 years after opening, a maximum yearly profit of approximately $235,000was earned.
D. Approximately 10.5 years after opening, a maximum yearly profit of approximately $235,000was earned.
Question 4
As sacks are unloaded off a wagon, the total weight of the wagon and sacks changes. Each sack has the same weight. After 3 sacks are removed, the total weight of the cart and remaining sacks is 116 pounds. After 6 sacks are removed, the total weight is 101 pounds.
What is the weight of each sack?
A. 32 pounds
B. 18 pounds
C. 81 pounds
D. 5 pounds
Question 5
A contractor charges a flat rate plus a fixed rate per hour to come and make repairs. For a job that takes 3 hours, the contractor charges $220. For a job that takes 5 hours, the contractor charges $340.
Which function correctly represents the total charge Cfor a job that takes thours?
A. C(t)=60t+40
B. C(t)=60t
C. C(t)=40t
D. C(t)=40t+60
Solutions:
| Question 1 Answer: D | Question 2 Answer: A | Question 3 Answer: B | Question 4 Answer: D | Question 5 Answer: A |
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