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WGU Applied-Algebra Exam Syllabus Topics:

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

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WGU Applied Algebra FXO2 PFXP C957 Sample Questions (Q65-Q70):

NEW QUESTION # 65
The exponential function
f(t)=2900(1.13)
t
represents the size of a bacteria population, where t is the time in hours.
How many bacteria are in the population when t=18?

A. 23,160
B. 26,170
C. 29,573
D. 20,495

Answer: B

Explanation:
This is an exponential growth problem because the base 1.13 is greater than 1. The function starts with 2,900 bacteria and grows by a factor of 1.13 each hour, which represents a 13% hourly increase. To find the population after 18 hours, substitute t=18 into the function: f(18)=2900(1.13)
18
Evaluating the exponent and multiplying by 2900 gives approximately 26,170.38. Since bacteria are counted as whole organisms, this rounds to about 26,170 bacteria. The other answer choices do not match the exponential model at t=18. Therefore, the correct answer is C.

NEW QUESTION # 66
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?

A. f(n)=17n
B. f(n)=n/17
C. f(n)=n+17
D. f(n)=n#17

Answer: C

NEW QUESTION # 67
The graph shows the number of customers, C(t), showing up to a store, where the number of hours since opening is along the horizontal axis and the number of customers showing up to the store each hour is along the vertical axis.

How can the concavity be described from t=6.2to t=10.1?

A. The number of customers increases faster and faster and then increases slower and slower.
B. The number of customers increases slower and slower and then increases faster and faster.
C. The number of customers decreases slower and slower and then increases faster and faster.
D. The number of customers increases slower and slower and then decreases faster and faster.

Answer: D

Explanation:
From t=6.2to about t=8.5, the graph is increasing, but it is becoming less steep as it approaches a local maximum.
That means the number of customers is:
" increasing slower and slower "
After the local maximum, from about t=8.5to t=10.1, the graph begins to decrease and becomes steeper downward.
That means the number of customers is:
" decreasing faster and faster "
So the full description is:
" The number of customers increases slower and slower and then decreases faster and faster. " Therefore, the correct answer is:
# ( " D " )

NEW QUESTION # 68
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?

A. The number of people with the virus increases slower and slower.
B. The number of people with the virus increases faster and faster.
C. The number of people with the virus decreases slower and slower.
D. The number of people with the virus decreases faster and faster.

Answer: B

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 # 69
The number of people, P, in a festival audience is represented by the graph, with the number of hours since the beginning of the festival along the horizontal axis and the size of the audience along the vertical axis.

Point Arepresents an audience size of 402 for the first hour of the festival, or P(0)=402.
Which ordered pair represents a point on the graph?

A. (10#407)
B. (8#409)
C. (4#404)
D. (2#401)

Answer: D

Explanation:
This question is about reading an ordered pair from a graph.
An ordered pair has the form:
(x#y)
where:
x= " time in hours "
and
y= " audience size "
From the graph:
Point Ais at approximately (0#402)
Point Bis at (2#401)
Point Cis at (4#403)
Point Dis at (6#406)
Point Eis at approximately (8#410)
Point Fis at (10#408)
Now compare these graph points with the answer choices.
Choice A says:
(2#401)
This matches point Bon the graph exactly.
The other choices do not match the graph:
(4#404)
is incorrect because at x=4, the graph shows about 403, not 404.
(8#409)
is incorrect because at x=8, the graph is about 410, not 409.
(10#407)
is incorrect because at x=10, the graph shows about 408, not 407.

NEW QUESTION # 70
......

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