Free PDF Reliable WGU - Applied-Algebra - Test WGU Applied Algebra FXO2 PFXP C957 Study Guide

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WGU Applied-Algebra Exam Syllabus Topics:

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

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WGU Applied Algebra FXO2 PFXP C957 Sample Questions (Q90-Q95):

NEW QUESTION # 90
The data in the scatterplot represents the number of monthly train crossings at a particular intersection over time.

Which type of function should be used to model the data?

A. Linear
B. Polynomial
C. Exponential
D. Logistic

Answer: C

Explanation:
The scatterplot shows the number of monthly train crossings decreasing over time. The decrease is not constant from one year to the next, so a linear model is not the best choice. Instead, the data decreases quickly at first and then begins to level off, which is characteristic of exponential decay. Exponential models are appropriate when a quantity changes by a repeated factor or percentage over equal time intervals. A logistic model would usually show an S-shaped pattern with a carrying capacity, and a polynomial model would be more appropriate for turning points or more complex curvature. Since the points show a smooth decreasing curve that flattens over time, an exponential function best models the data. Therefore, the correct answer is B.

NEW QUESTION # 91
The population of fish in a lake is changing according to the function
P(t)=24t+185
where tis the number of months since the beginning of the year and P(t)is the fish population at time t.
Which interpretation of the rate of change is correct?

A. The number of fish in the lake is increasing at a constant rate of 185 fish per month.
B. The number of fish in the lake is increasing at a constant rate of 24 fish per month.
C. The number of fish in the lake is decreasing at a constant rate of 24 fish per month.
D. The number of fish in the lake is decreasing at a constant rate of 185 fish per month.

Answer: B

NEW QUESTION # 92
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 2007, the population was increasing by 3,740 animals per year.
B. In 2007, the population was increasing by 3.74 animals per year.
C. In 2012, the population was increasing by 3,740 animals per year.
D. In 2012, the population was increasing by 3.74 animals per year.

Answer: A

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 # 93
The function V(t)represents the number of travelers, V, in a travel depot thours after 7:00 a.m. The graph of V (t)is shown.

What does V(2)represent?

A. 2 hours
B. 79.2 hours
C. 2 travelers
D. 79.2 travelers

Answer: D

Explanation:
The function V(t)represents the number of travelers in the travel depot.
The input trepresents:
" hours after 7:00 a.m. "
The output V(t)represents:
" number of travelers "
So V(2)means the number of travelers in the depot:
2 " hours after 7:00 a.m. "
From the graph, when:
t=2
the value of V(t)is approximately:
79.2
Since V(t)measures travelers, not hours, V(2)represents:
79.2 " travelers "
Therefore, the correct answer is:
# ( " D " )

NEW QUESTION # 94
The graph shows the number of customers visiting a bookstore, where the number of days since the beginning of the month is along the horizontal axis and the number of customers visiting the bookstore each day is along the vertical axis. More customers show up to the store on days when new releases are featured than on other days.

Which days likely featured new releases?

A. New releases were likely featured on days 5 and 10.
B. New releases were likely featured on only day 5.
C. New releases were likely featured on days 8 and 11.
D. New releases were likely featured on only day 8.

Answer: C

Explanation:
The graph shows customer visits by day.
To determine which days likely featured new releases, we should look for the days with unusually high customer counts.
From the graph:
Day 8 has about 40customers.
Day 11 also has about 40customers.
These are the highest values shown on the graph.
Since the problem says more customers show up on days when new releases are featured, the days with the highest customer counts are the most likely new-release days.
Therefore, the correct answer is:
# ( " D " )

NEW QUESTION # 95
......

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