Explanation 1) Formula: The exponential growth model with n 0 and r to get, n ( t ) = n 0 e r t 2) Calculation: Given, The stray-cat population in a small town grows exponentially. In 1999 the town had 30 stray cats. (i.e.) n 0 = 30 The relative growth rate is given by r = 15 % = 0.15 The exponential growth model with n 0 = 30 and r = 0 To determine b) To find: The projected population after 4 years. To determine c) To find: The number of years required for the stray-cat population to reach 500.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN: 9781305071742

Author: James Stewart, Lothar Redlin, Saleem Watson

Publisher: Cengage Learning

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Question

Chapter 4.CR, Problem 97E

To determine

a) To find:

A function that models the stray-cat population h(t) after t years.

To determine

b) To find:

The projected population after 4 years.

To determine

c) To find:

The number of years required for the stray-cat population to reach 500.

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Chapter 4 Solutions

Algebra and Trigonometry (MindTap Course List)

Ch. 4.1 - The function f(x)=5x is an exponential function...Ch. 4.1 - Prob. 2E Ch. 4.1 - a To obtain the graph of g(x)=2x1, we start with...Ch. 4.1 - In the formula A(t)=P(1+rn)nt for compound...Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E Ch. 4.1 - Prob. 7E Ch. 4.1 - Prob. 8E Ch. 4.1 - Prob. 9E Ch. 4.1 - Prob. 10E

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a) To find: A function that models the stray-cat population h ( t ) after t years.

Solution Summary: The author explains that a function that models the stray-cat population after t years is given by, n(t)=30e0.15t

Concept explainers

Videos

a) To find:

A function that models the stray-cat population h(t) after t years.

b) To find:

The projected population after 4 years.

c) To find:

The number of years required for the stray-cat population to reach 500.

Chapter 4 Solutions

a) To find: A function that models the stray-cat population h ( t ) after t years.

Solution Summary: The author explains that a function that models the stray-cat population after t years is given by, n(t)=30e0.15t

Concept explainers

Videos

a) To find: A function that models the stray-cat population h(t) after t years.

b) To find: The projected population after 4 years.

c) To find: The number of years required for the stray-cat population to reach 500.

Chapter 4 Solutions

a) To find:

A function that models the stray-cat population h(t) after t years.

b) To find:

The projected population after 4 years.

c) To find:

The number of years required for the stray-cat population to reach 500.