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WGU Applied-Algebra Exam Syllabus Topics:

Section	Objectives
Topic 1: Linear Functions and Systems	- Linear Equations 1. Slope-intercept form 2. Point-slope form - Systems of Equations 1. Elimination method 2. Substitution method
Topic 2: Exponential and Logarithmic Concepts	- Exponential Functions 1. Growth and decay models 2. Exponential equations - Logarithmic Basics 1. Conversion between exponential and logarithmic form 2. Logarithm properties
Topic 3: Functions and Graphs	- Graphing Functions 1. Transformations of graphs 2. Coordinate plane interpretation - Function Concepts 1. Function notation 2. Domain and range
Topic 4: Foundations of Algebra	- Equations and Inequalities 1. Linear equations in one variable 2. Inequalities and interval notation - Algebraic Expressions 1. Simplifying expressions 2. Evaluating expressions 3. Order of operations
Topic 5: Polynomial and Rational Expressions	- Polynomials 1. Factoring techniques 2. Operations with polynomials - Rational Expressions 1. Simplification 2. Restrictions on variables

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WGU Applied Algebra FXO2 PFXP C957 Sample Questions (Q62-Q67):

NEW QUESTION # 62
The growth of an animal population is shown in the graph. The instantaneous rate of change at point Pis 3.74.

Which interpretation of the instantaneous rate of change is correct?

A. In 2012, the population was increasing by 3.74 animals per year.
B. In 2012, the population was increasing by 3,740 animals per year.
C. In 2007, the population was increasing by 3.74 animals per year.
D. In 2007, the population was increasing by 3,740 animals per year.

Answer: D

Explanation:
The graph shows population in thousands, and the horizontal axis represents:
" years since 1995 "
Point Pis located at approximately:
x=12
Since xrepresents years since 1995:
1995+12=2007
So point Pcorresponds to the year:
2007
The instantaneous rate of change at point Pis:
3.74
Because the vertical axis is measured in thousands, this means:
3.74 " thousand animals per year "
Convert thousands to actual animals:
3.74×1000=3740
So in 2007, the population was increasing by approximately:
3,740 " animals per year "

NEW QUESTION # 63
The number of employees under supervisor B is 13 more than the number of employees under supervisor A.
Let F(n)represent the number of employees under the two supervisors, where nis the number of employees under supervisor A and Fis the number of employees under supervisor B.
Which is the correct function to represent this relationship?

A. F(n)=n+13
B. F(n)=13n
C. F(n)=n/13
D. F(n)=n-13

Answer: A

NEW QUESTION # 64
The figure shows the graph of x(t), which represents the number of users, x, watching a live video thours after
9:00 a.m.

Which interpretation of the concavity between t=3.2and t=5.7is correct?

A. The number of users is increasing faster and faster.
B. The number of users is decreasing slower and slower.
C. The number of users is increasing slower and slower.
D. The number of users is decreasing faster and faster.

Answer: D

Explanation:
The graph represents:
x(t)= " number of users watching a live video "
where:
t= " hours after 9:00 a.m. "
We are asked to interpret the concavity between:
t=3.2
and
t=5.7
On this interval, the graph is going downward, so the number of users is decreasing.
Also, the graph becomes steeper as it moves downward during this interval. That means the rate of decrease is becoming larger in magnitude.
In other words, the number of users is not just decreasing; it is decreasing more quickly as time passes.
So the correct interpretation is:
" The number of users is decreasing faster and faster. "
Therefore, the correct answer is:
# ( " C " )

NEW QUESTION # 65
A company provides internet service to approximately 1,050 customers each year. The table shows the percentage of customers with fiber internet each year since 2020.
Years since 2020 Percent of Customers with Fiber
0 19
1 28
2 40
3 57
What was the approximate number of customers with fiber internet in 2023?

A. 0
B. 1
C. 2
D. 3

Answer: C

Explanation:
The table gives the percent of customers with fiber internet for each year since 2020.
Since 2023 is:
2023#2020=3
we use the row where:
Years since 2020=3
From the table, the percent of customers with fiber internet in 2023 is:
57%
The company has approximately:
1,050
customers each year.
Now find 57% of 1,050:
0.57×1,050=598.5
The closest answer choice is:
598
So approximately 598 customers had fiber internet in 2023.
Therefore, the correct answer is:
C

NEW QUESTION # 66
The graph shows the number of user accounts on a social media website over time.

When did the number of user accounts reach 4,500?

A. After 3.2months
B. After 7.0months
C. After 2.0months
D. After 8.8months

Answer: C

Explanation:
The graph represents the number of user accounts over time.
The horizontal axis represents:
" Time in months "
The vertical axis represents:
" Number of user accounts "
We need to find when the number of user accounts reached:
4,500
On the vertical axis, 4,500is halfway between:
3,000
and
6,000
So we look for the point where the blue curve reaches that height.
From the graph, the curve reaches approximately 4,500user accounts at:
x#2.0
That means the website had about 4,500user accounts after approximately:
2.0 " months "

NEW QUESTION # 67
......

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