How You Can Pass the WGU Applied-Algebra Exam On First Attempt

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WGU Applied Algebra FXO2 PFXP C957 Sample Questions (Q42-Q47):

NEW QUESTION # 42
The number of letters processed daily at a mail center is modeled by the decreasing exponential function shown in the graph.

Which value is the number of letters processed per day trending toward as time progresses, based on the equation of the horizontal asymptote?

Answer: B

Explanation:
The graph shows a decreasing exponential function.
The vertical axis represents:
" Letters per day "
The horizontal axis represents:
" Time in years "
For an exponential decay graph, the value decreases quickly at first and then begins to level off. The value it approaches in the long run is called the horizontal asymptote.
From the graph, the curve levels off near:
y=2,500
So the number of letters processed per day is trending toward:
2,500
This does not mean the mail center immediately processes exactly 2,500 letters per day. It means that as time continues, the number gets closer and closer to 2,500.
Therefore, the correct answer is:
# ( " B " )


NEW QUESTION # 43
The function p(t)represents the number of active players, p, in a game thours after 11:00 a.m. The graph of p(t) is shown.

What is one example of an interval for which the number of players is decreasing faster and faster?

Answer: A

Explanation:
The graph represents:
p(t)= " number of active players "
where:
t= " hours after 11:00 a.m. "
The phrase "decreasing faster and faster" means two things are happening:
The graph is going downward, so the number of players is decreasing.
The graph is becoming steeper downward, so the rate of decrease is increasing.
This corresponds to a graph that is decreasing and concave down.
Looking at the graph, the number of active players reaches a maximum around:
t#9
After that, the graph begins decreasing. Near the far right side of the graph, especially around:
t=11.2 " to " t=11.5
the curve is dropping more and more steeply.
That means the number of players is decreasing faster and faster on that interval.


NEW QUESTION # 44
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?

Answer: D

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 # 45
A researcher collected data on the number of annual bear sightings in a region over time. The results are shown in the scatterplot. A regression function is graphed with r

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