C957/ WGU - C957 APPLIED ALGEBRA OA EXAM
NEWEST 2026 ACTUAL EXAM QUESTIONS AND
CORRECT DETAILED ANSWERS (VERIFIED
ANSWERS) ALL ANSWERED {220 Q & A}
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The number of memberships at Sunrise Sky Spa since 2000 can
be modeled by the function
m(t)=0.6t4−20t3+200t2−500t+1000
,
where t is the number of years since 2000. Calculate the number
of memberships on October 1, 2005.
There were approximately 1,693 memberships on October 1, 2005.
There were approximately 903 memberships on October 1, 2005.
There were approximately 1,592 memberships on October 1, 2005.
There were approximately 1,221 memberships on October 1, 2005.
- ✔✔✔ Correct Answer > There were approximately 1,592 memberships
on October 1, 2005.
Correct! Substitute t = 5.75 into m(t)
,Page 2 of 115
, and you have
m(5.75)=0.6(5.75)4−20(5.75)3+200(5.75)2−500(5.75)+1000≈0.6(109
3.13)−20(190.11)+200(33.06)−2875+1000≈655.88−3802.2+6612
The average rate of change for a given stock from x = 3 to x = 7 is
−$0.595.
What does this mean?
It means that every hour, the value of the stock dropped by an
average of $0.60.
It means that from hour 3 to hour 7, the value of the stock
dropped $0.60.
It means that from hour 3 until hour 7, the value of the stock
dropped an average of $0.60 per hour.
It means that at hour 3, the amount is dropping $0.60 faster than
it was at hour 7. - ✔✔✔ Correct Answer > It means that from hour 3
until hour 7, the value of the stock dropped an average of $0.60
per hour.
Traffic over a certain bridge every day, in number of vehicles per
minute, can be modeled by the function n(t)=−2t3+40t2−200t+350
, where t is the number of hours since 8:00 a.m. Find the number
of vehicles per minute that cross over the bridge at 9:15 a.m.
every day.
Approximately 2,584 vehicles per minute go over the bridge at
9:15 a.m. every day.
,Page 3 of 115
Approximately 281 vehicles per minute go over the bridge at 9:15
a.m. every day.
Approximately 159 vehicles per minute go over the bridge at 9:15
a.m. every day.
Approximately 195 vehicles per minute go over the bridge at 9:15
a.m. every day. - ✔✔✔ Correct Answer > Approximately 159 vehicles
per minute go over the bridge at 9:15 a.m. every day.
Correct! Substitute t = 1.25 into n(t)�(�), and you have:
n(1.25)=−2(1.25)3+40(1.25)2−200(1.25)+350=−2(1.953125)+40(1.562
5)−250+350=−3.90625+62.5−250+350≈159
Daily traffic through the Geller River Bridge, in number of
vehicles per minute, can be modeled by the function
n(t)=−2t3+40t2−200t+350
, where t is the number of hours since 8:00 a.m. Find the number
of vehicles per minute that cross the bridge at 9:30 a.m. every
day.
Approximately 188 vehicles per minute cross the bridge at 9:30
a.m. every day.
Approximately 133 vehicles per minute cross the bridge at 9:30
a.m. every day.
Approximately 123 vehicles per minute cross the bridge at 9:30
a.m. every day.
, Page 4 of 115
Approximately 112 vehicles per minute cross the bridge at 9:30
a.m. every day. - ✔✔✔ Correct Answer > Approximately 133 vehicles
per minute cross the bridge at 9:30 a.m. every day.
Correct! Substitute t = 1.5 into n(t)
, and you have:
n(1.5)=−2(1.5)3+40(1.5)2−200(1.5)+350=−2(3.375)+40(2.25)−300+3
50=−6.75+100−300+350=133.25
The number of memberships at Sunrise Sky Spa since 2000 can
be modeled by the function
m(t)=0.6t4−20t3+200t2−500t+1000
,
where t is the number of years since 2000. Calculate the number
of memberships at the beginning of 2008.
There were approximately 1,024 memberships at the beginning of
2008.
There were approximately 2,018 memberships at the beginning of
2008.
There were approximately 529 memberships at the beginning of
2008.
There were approximately 2,024 memberships at the beginning of
2008. - ✔✔✔ Correct Answer > There were approximately 2,018
memberships at the beginning of 2008.
Correct! Substitute t = 8 into m(t)