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This is a simple and portable document of real WGU Applied-Algebra Exam Questions. It contains actual WGU Applied-Algebra exam questions and answers and can be helpful for quick revision or for studying on the go. It is also printable so you can easily study on a hard copy of the pdf having a break from staring.
| Section | Objectives |
|---|---|
| Polynomial and Rational Expressions | - Polynomials
|
| Functions and Graphs | - Graphing Functions
|
| Foundations of Algebra | - Equations and Inequalities
|
| Exponential and Logarithmic Concepts | - Exponential Functions
|
| Linear Functions and Systems | - Systems of Equations
|
>> Latest Applied-Algebra Material <<
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NEW QUESTION # 102
A music student attempted to learn a difficult new song. Each day, the student would play the song and be scored on their performance. The graph shows the results.
What was the average daily change in performance from day 16 to day 20?
Answer: C
Explanation:
The average daily change is the average rate of change over the interval from day 16 to day 20. From the graph, the performance score at day 16 is approximately 30.1, and the score at day 20 is approximately 57.6.
Use the formula
x
2
#x
1
y
2
#y
1
Substituting gives
20#16
57.6#30.1
The numerator is 27.5, and the denominator is 4, so the average daily change is 27.5/4=6.875, which rounds to 6.88. This means the performance score increased by an average of about 6.88 points per day over the interval. Therefore, the correct answer is B.
NEW QUESTION # 103
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?
Answer: D
Explanation:
The graph shows a logistic growth function for conference registration. From week 1 to week 7, the number of registrants is increasing because the graph rises as time moves forward. The curve also becomes steeper throughout this interval, meaning the number of registrants is increasing at a faster rate each week. In Applied Algebra, when a graph rises and its slope increases, the correct interpretation is "increases faster and faster." The graph is not decreasing, so both decreasing options are incorrect. The graph is also not flattening during this interval, so "increases slower and slower" does not match. Therefore, the correct answer is C.
NEW QUESTION # 104
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?
Answer: A
Explanation:
The graph represents a logistic growth model for viral infections. From day 9 to day 12, the curve is moving upward, so the number of infected people is increasing. During this interval, the graph is also becoming steeper, which means the rate of increase is getting larger. When a function is increasing and its slope is increasing, the correct description is that the quantity increases faster and faster. This interval occurs before the logistic graph begins to level off near its carrying capacity. The choices involving decrease are incorrect because the graph is not going downward. The choice "increases slower and slower" would apply to a later interval where the graph flattens. Therefore, the correct answer is A.
NEW QUESTION # 105
The number of property sales in a region this year is expected to be 3 times the number of property sales in the region last year. The function H(x) represents the number of property sales this year, where x represents the number of properties sold last year. Which notation represents the number of property sales this year, given that the number of properties sold last year was 280?
Answer: A
Explanation:
This problem uses function notation to describe a multiplicative relationship. The input x is the number of properties sold last year, and the output H(x) is the expected number sold this year. Since this year's sales are
3 times last year's sales, the function rule is H(x)=3x. The given input is 280 because 280 properties were sold last year. Substituting gives H(280)=3(280)=840. That means 840 property sales are expected this year. The answer choice must show the correct input of 280 and the correct output of 840. The other options either reverse the values or use an incorrect output. Therefore, the correct answer is C.
NEW QUESTION # 106
The function f(n) represents the relationship between the distances traveled by two vehicles, where n is the distance traveled by vehicle A and f is the distance traveled by vehicle B. The distance traveled by vehicle B is 17 more than the distance traveled by vehicle A.
Which function represents this situation?
Answer: B
NEW QUESTION # 107
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