# Section 5.4 The Logistic Equation

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14

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Multiple Choice

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Q 1

Identify the graph of the logistic function .
A)
B)
C)
D)
E)

Free

Multiple Choice

B

Q 2

Each of the following graphs is from a logistic function .Which one has the smallest value of b?
A)
B)
C)
D)
E)

Free

Multiple Choice

E

Q 3

Each of the following graphs is from a logistic function .Which one has the largest value of b?
A)
B)
C)
D)
E)

Free

Multiple Choice

E

Q 4

The logistic function models the growth of a population.Identify the value of k.
A)3.5
B)4
C)2
D)10
E)3

Multiple Choice

Q 5

The logistic function models the growth of a population.Identify the maximum carrying capacity.
A)15
B)5.5
C)5
D)4
E)6

Multiple Choice

Q 6

The logistic function models the growth of a population.Identify the initial population.
A)10
B)12
C)5
D)60
E)6

Multiple Choice

Q 7

The logistic function models the growth of a population.Determine when the population reaches one-half of the maximum carrying capacity.Round your answer to three decimal places.
A)0.549
B)3.333
C)1.151
D)5.000
E)1.000

Multiple Choice

Q 8

The logistic function models the growth of a population.Determine when the population reaches 40% of the maximum carrying capacity.Round your answer to three decimal places.
A)4.317
B)3.000
C)0.474
D)0.677
E)0.301

Multiple Choice

Q 9

Find the logistic equation that satisfies the following differential equation and initial condition.
A)
B)
C)
D)
E)none of the above

Multiple Choice

Q 10

Match the logistic differential equation and initial condition with the graph of its solution shown below.
A)
B)
C)
D)
E)

Multiple Choice

Q 11

Match the logistic equation and initial condition with the graph of the solution.
A)
B)
C)
D)
E)

Multiple Choice

Q 12

A conservation organization releases 30 panthers into a preserve.After 3 years,there are 50 panthers in the preserve.The preserve has a carrying capacity of 150.Write a logistic function that models the population of panthers in the preserve.
A)
B)
C)
D)
E)

Multiple Choice

Q 13

A conservation organization releases 30 panthers into a preserve.After 3 years,there are 50 panthers in the preserve.The preserve has a carrying capacity of 150.Determine the population after 6 years.Discard any fractional part of your answer.
A)74
B)66
C)87
D)79
E)130

Multiple Choice

Q 14

A conservation organization releases 40 coyotes into a preserve.After 4 years,there are 70 coyotes in the preserve.The preserve has a carrying capacity of 175.Determine the time it takes for the population to reach 140.
A)15.599 years
B)11.454 years
C)12.838 years
D)10.271 years
E)14.463 years

Multiple Choice