WGU Applied-Algebra Online Test - Applied-Algebra Deutsche

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WGU Applied-Algebra Exam Syllabus Topics:

Section	Weight	Objectives
Algebraic Expressions and Operations	20%	- Operations with polynomials - Variables, constants, and coefficients - Order of operations - Simplifying and evaluating expressions
Graphing and Functions	25%	- Linear functions and their graphs - Function notation and evaluation - Coordinate plane and plotting points - Slope and equations of lines
Systems of Equations and Inequalities	15%	- Applications of systems - Graphical solutions - Solving by substitution and elimination
Exponents, Radicals, and Quadratic Relationships	15%	- Simplifying radical expressions - Basic quadratic graphs - Properties of exponents - Solving quadratic equations
Linear Equations and Inequalities	25%	- Solving and graphing inequalities - Real-world applications - Solving single-variable equations

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Applied-Algebra Torrent Anleitung - Applied-Algebra Studienführer & Applied-Algebra wirkliche Prüfung

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WGU Applied Algebra FXO2 PFXP C957 Applied-Algebra Prüfungsfragen mit Lösungen (Q108-Q113):

108. Frage
After a water tank starts leaking, the amount of water in the tank is modeled by the exponential function that is graphed.

Which statement is justified considering the location of the horizontal asymptote?

A. The water volume will not decrease to 500 gallons.
B. The greatest water volume occurs after 11 minutes.
C. The water volume will change by a constant rate over time.
D. The rate of change in water volume quickens over time.

Antwort: A

Begründung:
The graph shows the water volume decreasing over time.
The vertical axis represents:
" Water volume in gallons "
The horizontal axis represents:
" Time in minutes "
The graph is an exponential decay curve. It decreases quickly at first, then levels off.
From the graph, the curve approaches a horizontal value near:
y=1,000
This means the horizontal asymptote is approximately:
y=1,000
Since the graph approaches 1,000 gallons, it will not decrease to 500 gallons according to this model.
The water volume does not change by a constant rate because exponential functions do not have constant additive change. Also, the graph decreases fastest at the beginning, not later.

109. Frage
The number of acres affected by an invasive species can be modeled using the logistic function f(x), where xrepresents the number of months since the species was introduced and f(x)represents the number of affected acres. The graph of f(x)is shown.

What happens as time progresses from month 2 to month 6?

A. The number of affected acres decreases faster and faster.
B. The number of affected acres increases faster and faster.
C. The number of affected acres decreases slower and slower.
D. The number of affected acres increases slower and slower.

Antwort: B

Begründung:
This is also a logistic growth curve.
Analyze the interval from month 2 to month 6:
The graph is increasing during this time.
The curve is becoming steeper, meaning the slope is increasing.
This indicates the rate of change is getting larger over time.
So, the number of affected acres is:
" increasing faster and faster "
This corresponds to the early-to-middle growth phase of a logistic function.

110. Frage
The graph shows the value, O, in dollars, of an investment account over time.

What represents the value of the account after 8 years?

A. $700.19
B. $2,221.12
C. $1,028.81
D. $476.54

Antwort: B

Begründung:
The graph shows the total value of an investment account as time increases.
The horizontal axis represents:
" Time in years "
The vertical axis represents:
" Total value in dollars "
We need to find the value of the account after:
8 " years "
From the graph, when t=8, the curve is slightly above $2,200. The closest answer choice is:
$2,221.12
So the value of the account after 8 years is approximately:
$2,221.12
Therefore, the correct answer is:
# ( " D " )

111. Frage
The number of letters processed daily at a mail center is modeled by the decreasing exponential function shown in the graph.

What is the long-term trend in the number of letters processed per day, based on the equation of the horizontal asymptote?

A. 4,500
B. 2,250
C. 0
D. 1,000

Antwort: D

Begründung:
The graph shows a decreasing exponential function.
In Applied Algebra, a decreasing exponential function may approach a fixed value over time. This fixed value is called the horizontal asymptote.
The horizontal asymptote represents the long-term value that the function gets closer and closer to, but does not necessarily cross or reach exactly.
From the graph, the curve decreases quickly at first, then begins to level off near:
y=1,000
This means that as time continues, the number of letters processed per day approaches:
1,000
So the long-term trend is that the mail center will process about:
1,000 " letters per day "

112. Frage
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)=n/13
C. F(n)=13n
D. F(n)=n-13

Antwort: A

113. Frage
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