Valid Reliable Study Applied-Algebra Questions - How to Download for WGU Exam Applied-Algebra Topics

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WGU Applied-Algebra Exam Syllabus Topics:

Section	Objectives
Functions and Graphs	- Function Concepts 1. Function notation 2. Domain and range - Graphing Functions 1. Coordinate plane interpretation 2. Transformations of graphs
Exponential and Logarithmic Concepts	- Exponential Functions 1. Exponential equations 2. Growth and decay models - Logarithmic Basics 1. Conversion between exponential and logarithmic form 2. Logarithm properties
Foundations of Algebra	- Equations and Inequalities 1. Linear equations in one variable 2. Inequalities and interval notation - Algebraic Expressions 1. Order of operations 2. Evaluating expressions 3. Simplifying expressions
Polynomial and Rational Expressions	- Rational Expressions 1. Simplification 2. Restrictions on variables - Polynomials 1. Factoring techniques 2. Operations with polynomials
Linear Functions and Systems	- Linear Equations 1. Point-slope form 2. Slope-intercept form - Systems of Equations 1. Substitution method 2. Elimination method

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First-hand WGU Reliable Study Applied-Algebra Questions - Exam WGU Applied Algebra FXO2 PFXP C957 Topics

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WGU Applied Algebra FXO2 PFXP C957 Sample Questions (Q97-Q102):

NEW QUESTION # 97
The function P(t) represents the yearly profit, in thousands of dollars, for a virtual store since opening. The graph of P(t) is shown.

What is the time at which the store reached the maximum yearly profit?

A. Approximately 7.5 years after the store opened
B. Approximately 14 years after the store opened
C. Approximately 2.5 years after the store opened
D. Approximately 4.5 years after the store opened

Answer: D

Explanation:
The maximum value of a graph is the highest output value the function reaches. Since P(t) represents yearly profit, the maximum value occurs where the store earns its greatest yearly profit. The graph is a downward- opening curve, so its highest point is the vertex. To answer the question, we need the t-value of the vertex, not the profit amount. From the graph, the highest point occurs between 4 and 5 years after opening, closest to 4.5 years. This means the virtual store reached its maximum yearly profit approximately 4.5 years after it opened.
The later values decrease after the vertex, so options involving 7.5 or 14 years are not correct. Therefore, the correct answer is B.

NEW QUESTION # 98
The graph shows the number of people waiting in a virtual queue to buy tickets for an event.
What does the horizontal asymptote mean?

A. The number of people in the queue was initially 750.
B. Eventually, the number of people in the queue will decrease to 0.
C. As time passes, the number of people in the queue approaches 100.
D. Over time, the number of people in the queue will increase back up to 750.

Answer: C

Explanation:
The graph shows the queue size changing over time.
The horizontal axis represents:
" Time in minutes "
The vertical axis represents:
" Queue size "
The graph is a decreasing exponential curve. It starts near 750people and decreases quickly at first. Then the curve begins to flatten near:
y=100
A horizontal asymptote is the horizontal line that the graph approaches as time continues.
Here, the graph approaches the horizontal line:
y=100
This means that as time passes, the number of people in the virtual queue gets closer and closer to 100.
It does not mean the queue decreases to 0, because the graph levels off near 100, not near 0.
Therefore, the correct interpretation is:
" As time passes, the number of people in the queue approaches 100. "

NEW QUESTION # 99
The population of bison in a preserve can be modeled using the logistic function f(x), where x represents the number of years since the preserve was established and f(x) represents the population. The graph of f(x) is shown.

How does the bison population change as time progresses from year 7 to year 10?

A. The bison population increases slower and slower.
B. The bison population decreases faster and faster.
C. The bison population increases faster and faster.
D. The bison population decreases slower and slower.

Answer: A

Explanation:
A logistic function often increases quickly in the middle and then begins to level off as it approaches a maximum carrying capacity. From year 7 to year 10, the graph is still increasing, so the bison population is going up. However, the curve is becoming flatter during this interval. A flatter curve means the slope is getting smaller, so the population is increasing at a slower rate. This behavior is described as "increases slower and slower." It is not decreasing, because the graph continues to move upward. It is also not increasing faster and faster, because the slope is not becoming steeper in this interval. Therefore, the correct interpretation is answer B.

NEW QUESTION # 100
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 the amount of water plus 8/5.
B. The amount of lemon juice must be 5/8of the amount of water.
C. The amount of lemon juice must be 8/5of the amount of water.
D. The amount of lemon juice must be the amount of water plus 5/8.

Answer: B

Explanation:
The graph shows a linear relationship between:
w= " water in cups "
and
l= " lemon juice in cups "
The line passes through the origin, so the relationship has the form:
l=mw
where mis the rate of change.
From the graph, a clear point on the line is approximately:
(8#5)
This means when there are 8 cups of water, there are 5 cups of lemon juice.
The rate of change is:
m= " change in lemon juice " / " change in water "
m=5/8
So the relationship is:
l=5/8 w
This means the amount of lemon juice must be:
5/8
of the amount of water.

NEW QUESTION # 101
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 6.5 > 5.5
B. Town B, because 1.3 > 1.1
C. Town B, because 6.5 > 5.5
D. Town A, because 1.3 > 1.1

Answer: B

Explanation:
To determine which town's population is growing faster, compare the slopes of the two lines. In a linear population model, the slope represents the growth rate, while the starting value represents the initial population. The graph shows that Town A and Town B both increase over time, but Town B has the larger slope. Town B grows at about 1.3 thousand people per year, while Town A grows at about 1.1 thousand people per year. Since 1.3 > 1.1, Town B's population is increasing at a faster rate. The values 6.5 and 5.5 describe starting population amounts, not growth rates. Therefore, the correct answer is A.

NEW QUESTION # 102
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