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2026 Pass-Sure Applied-Algebra: Latest WGU Applied Algebra FXO2 PFXP C957 Exam Test
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WGU Applied Algebra FXO2 PFXP C957 Sample Questions (Q109-Q114):
NEW QUESTION # 109
Consider the function I(m)=41m²#490m+30, which represents the daily income, I, in dollars, of a store based on the number of months, m, since the beginning of the year. What is the difference between I(7) and I(9)?
- A. Approximately 332 months
- B. Approximately $332
- C. Approximately 2 months
- D. Approximately $2
Answer: B
Explanation:
This is a polynomial function evaluation problem. Since I(m) represents daily income in dollars, the difference between I(7) and I(9) must also be in dollars. First evaluate I(7)=41(49)#490(7)
+30=2009#3430+30=#1391. Then evaluate I(9)=41(81)#490(9)+30=3321#4410+30=#1059. The difference is
|#1059#(#1391)|=332. Because the question asks for the difference between the two outputs, the correct unit is dollars, not months. So the difference between I(7) and I(9) is approximately $332. Therefore, the correct answer is C.
NEW QUESTION # 110
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 5.
- B. New releases were likely featured on only day 8.
- C. New releases were likely featured on days 5 and 10.
- D. New releases were likely featured on days 8 and 11.
Answer: D
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 # 111
The graph shows the weekly profit in hundreds of dollars for a coffee shop. The horizontal axis represents the number of years since the coffee shop opened.
What is the correct interpretation of the minimum value?
- A. Approximately 6 years after opening, a minimum weekly profit of approximately $4,630was earned.
- B. Approximately 6 years after opening, a minimum weekly profit of approximately $990was earned.
- C. Approximately 13 years after opening, a minimum weekly profit of approximately $990was earned.
- D. Approximately 13 years after opening, a minimum weekly profit of approximately $4,630was earned.
Answer: B
Explanation:
The graph shows weekly profit as a function of time.
The horizontal axis represents:
" years since opening "
The vertical axis represents:
" weekly profit in hundreds of dollars "
The graph is an upward-opening curve, so its minimum value occurs at the lowest point, called the vertex.
From the graph, the lowest point occurs at approximately:
t=6
So the minimum weekly profit happened approximately:
6 " years after opening "
The vertical value at this point is approximately:
9.9
Since the profit is measured in hundreds of dollars:
9.9×100=990
So the minimum weekly profit was approximately:
$990
Therefore, the correct answer is:
# ( " A " )
NEW QUESTION # 112
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 $1,650was earned.
- B. Approximately 9.5 years after opening, a maximum daily profit of approximately $299was earned.
- C. Approximately 20 years after opening, a maximum daily profit of approximately $299was earned.
- D. Approximately 20 years after opening, a maximum daily profit of approximately $1,650was earned.
Answer: A
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 # 113
The graph shows the estimated wait time, in minutes, based on the number of hours after 7:00 a.m.
What is the average rate of change of the wait time from point Ato point B?
- A. -23.3
- B. -5.83
- C. 77.25
- D. 11.04
Answer: B
Explanation:
The average rate of change tells us how much the output changes, on average, for each 1-unit increase in the input.
Here:
x= " hours after 7:00 a.m. "
and
y= " estimated wait time in minutes "
From the graph, point Ais approximately:
A=(5,88.3)
and point Bis approximately:
B=(9,65)
Now use the average rate of change formula:
" Average rate of change " =(y_2-y_1)/(x_2-x_1 )
Substitute the values:
(65-88.3)/(9-5)
=(-23.3)/4
=-5.825
Rounded to two decimal places:
-5.83
The negative sign means the estimated wait time is decreasing from point Ato point B.
So the average rate of change is approximately:
-5.83 " minutes per hour "
NEW QUESTION # 114
......
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