Deck 5: Table and Trends
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Deck 5: Table and Trends
1
Find the solution for x of the equation
.
A) 
B) 
C) 
D) There is no solution.

A)

B)

C)

D) There is no solution.


2
Find the solution for x of the equation
.
A)
B)
C) There is no solution.
D)

A)

B)

C) There is no solution.
D)


3
Find the minimum value of
.
A)
B) 
C) 
D) 

A)

B)

C)

D)



4
On a certain island chain, the number of species present S is related to the area of the island.The relationship is given by
, where A is the area of the island measured in square miles.Which one of the following island areas will have 16 species present (rounded to the nearest whole number)?
A) 16 square miles
B) 29,020 square miles
C) 21 square miles
D) 29,263 square miles

A) 16 square miles
B) 29,020 square miles
C) 21 square miles
D) 29,263 square miles
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5
The concentration C, in milligrams per deciliter, of a drug in the bloodstream t hours after it is administered is
.
What is the maximum concentration ever achieved?
A) 7 milligrams per deciliter
B) 3.21 milligrams per deciliter
C) 6 milligrams per deciliter
D) 2.21 milligrams per deciliter

What is the maximum concentration ever achieved?
A) 7 milligrams per deciliter
B) 3.21 milligrams per deciliter
C) 6 milligrams per deciliter
D) 2.21 milligrams per deciliter
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6
Your pricing structure for canoe rentals encourages group rentals.The total price, in dollars, you charge for renting n canoes is
.
What number of canoe rentals gives the maximum total charge?
A) 38 canoes
B) 70 canoes
C) There is no solution.
D) 35 canoes

What number of canoe rentals gives the maximum total charge?
A) 38 canoes
B) 70 canoes
C) There is no solution.
D) 35 canoes
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7
The length L, in centimeters, of a certain type of fish is a function of the age t in years.The relationship is
.
At what age will the fish be 52 centimeters long?
A) 38 years
B) 52 years
C) 54 years
D) 51 years

At what age will the fish be 52 centimeters long?
A) 38 years
B) 52 years
C) 54 years
D) 51 years
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8
Find the solution for x of the equation
.
A)
B) 
C) 
D) There is no solution.

A)

B)

C)

D) There is no solution.
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9
A table of values always shows that a function has a limiting value.
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10
The number of animals present t years after their introduction to a game preserve is given by
.
Use a table of values to estimate the environmental carrying capacity of this reserve for this particular animal.
A) 24.45
B) 269
C) 0
D) 10

Use a table of values to estimate the environmental carrying capacity of this reserve for this particular animal.
A) 24.45
B) 269
C) 0
D) 10
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11
The number of geese nesting in a protected area
years after their introduction to the area is given by
.
When will the number of nesting geese reach 104?
A) After 18 years
B) After 115 years
C) Never
D) After 3 years


When will the number of nesting geese reach 104?
A) After 18 years
B) After 115 years
C) Never
D) After 3 years
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12
A formula can be used to generate a table of values.
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13
The length L, in centimeters, of a certain type of snake is a function of the age t in years.The relationship is
.
What is the longest snake of this variety that can be found?
A) 45 centimeters
B) 41 centimeters
C) 18.56 centimeters
D) 53 centimeters

What is the longest snake of this variety that can be found?
A) 45 centimeters
B) 41 centimeters
C) 18.56 centimeters
D) 53 centimeters
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14
The concentration, in milligrams per deciliter, of a drug in the bloodstream t hours after it is administered is
.
When is the maximum concentration achieved?
A) After 6 hours
B) After 2.84 hours
C) After 5 hours
D) After 1.84 hours

When is the maximum concentration achieved?
A) After 6 hours
B) After 2.84 hours
C) After 5 hours
D) After 1.84 hours
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15
For certain paragraphs, the Flesch Reading Ease score is given by
,
Where w is the number of words in the paragraph.For a certain age group, a score of 60 is desired.Which of the following number of words will produce this Flesch score when the score is rounded to the nearest whole number? Round your answer to the nearest whole number.
A) 241 words
B) 60 words
C) This score is not possible.
D) 251 words

Where w is the number of words in the paragraph.For a certain age group, a score of 60 is desired.Which of the following number of words will produce this Flesch score when the score is rounded to the nearest whole number? Round your answer to the nearest whole number.
A) 241 words
B) 60 words
C) This score is not possible.
D) 251 words
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16
Your pricing structure for canoe rentals encourages group rentals.The total price, in dollars, you charge for renting n canoes is
.
What is the maximum charge for a group canoe rental?
A) $676
B) $52
C) $679
D) $26

What is the maximum charge for a group canoe rental?
A) $676
B) $52
C) $679
D) $26
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17
The number of animals present
years after their introduction to a game preserve is given by
.
How long will it take for the population to reach 101 animals? Round your answer to the nearest whole number.
A) 6 years.
B) 284 years.
C) 9 years
D) It never happens.


How long will it take for the population to reach 101 animals? Round your answer to the nearest whole number.
A) 6 years.
B) 284 years.
C) 9 years
D) It never happens.
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18
If a function has a maximum value, a table of values can be used to find it.
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19
If a man jumps from an airplane with no parachute, his velocity after t seconds is given by
feet per second.How long will it take for his velocity to reach 106.67 feet per second?
A) 7 seconds
B) 5 seconds
C) 0.83 second
D) 175.17 seconds

A) 7 seconds
B) 5 seconds
C) 0.83 second
D) 175.17 seconds
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20
If a man jumps from an airplane with no parachute, his velocity after t seconds is given by
feet per second.Use a table of values to estimate the limiting value for his velocity.
A) 171
B) 0.83
C) 0
D) 170.17

A) 171
B) 0.83
C) 0
D) 170.17
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21
Find the solution for x of the equation
.
A)
B)
C)
D) There is no solution.

A)

B)

C)

D) There is no solution.
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22
What value of x gives the minimum value of
? Consider only positive x-values.
A)
B)
C)
D) There is no solution.

A)

B)

C)

D) There is no solution.
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23
Find the minimum value of
. Consider only positive x-values.
A)
B)
C)
D) There is no solution.

A)

B)

C)

D) There is no solution.
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24
What is the maximum value of
? Consider x-values between 3 and 12 only.
A)
B)
C)
D) There is no solution.

A)

B)

C)

D) There is no solution.
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25
What value of x gives the minimum value of
? Consider only positive x-values.
A)
B) 
C) 
D) There is no solution.

A)

B)

C)

D) There is no solution.
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26
Find the solution for x of the equation
.
A)
B)
C)
D) There is no solution.

A)

B)

C)

D) There is no solution.
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27
What is the maximum value of
? Consider only positive x-values.
A)
B) 
C) 
D) There is no solution.

A)

B)

C)

D) There is no solution.
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28
What is the maximum value of
? Consider only positive x-values.
A)
B) 
C) 
D) There is no solution.

A)

B)

C)

D) There is no solution.
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29
Find the solution for x of the equation
.
A)
B) 
C) 
D) There is no solution.

A)

B)

C)

D) There is no solution.
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30
What is the maximum value of
?
Consider only positive x-values.
A)
B) 
C) 
D) There is no solution.

Consider only positive x-values.
A)

B)

C)

D) There is no solution.
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31
What value of x gives the maximum value of
? Consider only positive x-values.
A)
B)
C)
D) There is no solution.

A)

B)

C)

D) There is no solution.
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32
What is the minimum value of
? Consider only positive x-values.
A)
B)
C)
D) There is no solution.

A)

B)

C)

D) There is no solution.
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33
What is the maximum value of
? Consider x-values between 3 and 12 only.
A)
B) 
C) 
D) There is no solution.

A)

B)

C)

D) There is no solution.
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34
What x-value gives the maximum value of
? Consider only positive x-values.
A)
B) 
C) 
D) There is no solution.

A)

B)

C)

D) There is no solution.
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