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| Section | Objectives |
|---|
| Topic 1: Exponential and Logarithmic Concepts | - Exponential Functions
- 1. Growth and decay models
- 2. Exponential equations
- Logarithmic Basics
- 1. Logarithm properties
- 2. Conversion between exponential and logarithmic form
|
| Topic 2: Linear Functions and Systems | - Systems of Equations
- 1. Elimination method
- 2. Substitution method
- Linear Equations
- 1. Point-slope form
- 2. Slope-intercept form
|
| Topic 3: Functions and Graphs | - Function Concepts
- 1. Function notation
- 2. Domain and range
- Graphing Functions
- 1. Transformations of graphs
- 2. Coordinate plane interpretation
|
| Topic 4: Foundations of Algebra | - Equations and Inequalities
- 1. Inequalities and interval notation
- 2. Linear equations in one variable
- Algebraic Expressions
- 1. Simplifying expressions
- 2. Order of operations
- 3. Evaluating expressions
|
| Topic 5: Polynomial and Rational Expressions | - Rational Expressions
- 1. Simplification
- 2. Restrictions on variables
- Polynomials
- 1. Operations with polynomials
- 2. Factoring techniques
|
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WGU Applied Algebra FXO2 PFXP C957 Sample Questions (Q58-Q63):
NEW QUESTION # 58
The graphed function n(t)represents the number of animals, n, at a feeding station thours after 5:00 a.m. The plotted points Aand Bhave coordinates (1#10.6)and (8#6.59).

Which statement gives the correct interpretation of the average rate of change of the number of animals over the interval from point Ato point B?
- A. The number of animals at the station increases at an average rate of 0.573 per hour.
- B. The number of animals at the station increases at an average rate of 4.01 per hour.
- C. The number of animals at the station decreases at an average rate of 0.573 per hour.
- D. The number of animals at the station decreases at an average rate of 4.01 per hour.
Answer: C
Explanation:
The average rate of change tells how much the output changes per one unit of input.
Here:
t= " hours after 5:00 a.m. "
and
n(t)= " number of animals "
The two given points are:
A=(1,10.6)
and
B=(8,6.59)
Use the average rate of change formula:
(y_2-y_1)/(x_2-x_1 )
Substitute the coordinates:
(6.59-10.6)/(8-1)
=(-4.01)/7
#-0.573
The negative sign means the number of animals is decreasing.
So the correct interpretation is:
" The number of animals at the station decreases at an average rate of " 0.573 " animals per hour. " Therefore, the correct answer is:
# ( " B " )
NEW QUESTION # 59
As sacks are unloaded off a wagon, the total weight of the wagon and sacks changes. Each sack has the same weight. After 3 sacks are removed, the total weight of the cart and remaining sacks is 116 pounds. After 6 sacks are removed, the total weight is 101 pounds.
What is the weight of each sack?
- A. 81 pounds
- B. 32 pounds
- C. 5 pounds
- D. 18 pounds
Answer: C
Explanation:
This situation can be modeled using a linear relationship because each sack has the same weight.
We are given:
After 3sacks are removed, the total weight is 116pounds.
After 6sacks are removed, the total weight is 101pounds.
From 3 sacks removed to 6 sacks removed, the number of removed sacks increases by:
6-3=3
During that time, the total weight decreases from 116pounds to 101pounds:
116-101=15
So removing 3 additional sacks decreases the total weight by 15 pounds.
Now divide to find the weight of one sack:
15/3=5
So each sack weighs:
5 " pounds "
Check:
If 3 more sacks are removed and each sack weighs 5 pounds, the total weight should decrease by:
3(5)=15
116-15=101
This matches the given information.
NEW QUESTION # 60
The number of daily raffle tickets sold, R(d), for a fundraiser is represented by the graph, with the number of days since the beginning of the month along the horizontal axis and the number of raffle tickets sold for the day along the vertical axis.

How can the concavity be described from d=0to d=4.4?
- A. The number of raffle tickets decreases faster and faster and then decreases slower and slower.
- B. The number of raffle tickets increases slower and slower and then decreases faster and faster.
- C. The number of raffle tickets decreases slower and slower and then increases faster and faster.
- D. The number of raffle tickets decreases slower and slower and then decreases faster and faster.
Answer: C
Explanation:
From d=0to about d=2, the graph is decreasing, but it is flattening as it approaches a minimum. This means the number of raffle tickets sold is decreasing at a slower rate:
" decreases slower and slower "
After the minimum, from about d=2to d=4.4, the graph increases and becomes steeper. This means the number of raffle tickets sold is increasing at a faster rate:
" increases faster and faster "
So the correct description is:
" The number of raffle tickets decreases slower and slower and then increases faster and faster. "
NEW QUESTION # 61
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 only day 8.
- B. New releases were likely featured on days 8 and 11.
- C. New releases were likely featured on only day 5.
- D. New releases were likely featured on days 5 and 10.
Answer: B
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 # 62
The function P(t)represents the daily profit, in hundreds of dollars, for a museum since opening. The graph of P(t)is shown.

What is the correct interpretation of the maximum value?
- A. Approximately 9.5 years after opening, a maximum daily profit of approximately $299was earned.
- B. Approximately 9.5 years after opening, a maximum daily profit of approximately $1,650was earned.
- C. Approximately 20 years after opening, a maximum daily profit of approximately $1,650was earned.
- D. Approximately 20 years after opening, a maximum daily profit of approximately $299was earned.
Answer: B
Explanation:
The graph shows a curved, downward-opening function. This type of graph is commonly associated with a quadratic polynomial function.
The maximum value of a downward-opening parabola occurs at its highest point, called the vertex.
From the graph, the highest point occurs at approximately:
t=9.5
This means the museum reaches its maximum daily profit approximately:
9.5 " years after opening "
The vertical axis represents daily profit in hundreds of dollars. From the graph, the maximum P(t)-value is approximately:
16.5
Since the profit is measured in hundreds of dollars:
16.5×100=1650
So the maximum daily profit is approximately:
$1,650
Therefore, the correct interpretation is:
" Approximately 9.5 years after opening, a maximum daily profit of approximately " $1,650 " was earned. "
NEW QUESTION # 63
......
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