EBK PRECALCULUS W/LIMITS

4th Edition

ISBN: 9781337516853

Author: Larson

Publisher: CENGAGE CO

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Question

Chapter 3.1, Problem 62E

a .

To determine

To find: is the population of Italy increasing or decreasing.

a .

Expert Solution

Answer to Problem 62E

Increasing

Explanation of Solution

Given:

The population P (in millions) of Italy from 2003 through 2015 can be approximated by the model

$P=57.59e0.0051t$ .................. (1)

Where t represents the year, with $t=3$ corresponding to 2003.

The graph of the equation $P=57.59e0.0051t$ is given below:

EBK PRECALCULUS W/LIMITS, Chapter 3.1, Problem 62E By looking at the graph it is clear that the population of Italy increasing.

To determine

To find: the populations of Italy in 2003 and 2015.

Expert Solution

Answer to Problem 62E

Population of Italy in 2003 is nearly 58.5 million.

Population of Italy in 2015 is nearly 62.2 million.

Explanation of Solution

Given:

The population P (in millions) of Italy from 2003 through 2015 can be approximated by the model

$P=57.59e0.0051t$ .................. (1)

Where t represents the year, with $t=3$ corresponding to 2003.

The population of Italy in 2003 is found by substituting $t=3$ in equation (1),

$P(3)=57.59e0.0051(3)=57.59e0.0153≈58.5$

Thus, population of Italy in 2003 is nearly 58.5 million.

The population of Italy in 2015 is found by substituting $t=15$ in equation (1),

$P(15)=57.59e0.0051(15)=57.59e0.0765≈62.2$

Thus, population of Italy in 2015 is nearly 62.2 million.

To determine

To find: the populations of Italy in 2020 and 2025.

Expert Solution

Answer to Problem 62E

Population of Italy in 2020 is nearly 63.8 million.

Population of Italy in 2025 is nearly 65.4 million.

Explanation of Solution

Given:

The population P (in millions) of Italy from 2003 through 2015 can be approximated by the model

$P=57.59e0.0051t$ .................. (1)

Where t represents the year, with $t=3$ corresponding to 2003.

The population of Italy in 2020 is found by substituting $t=20$ in equation (1),

$P(20)=57.59e0.0051(20)=57.59e0.102≈63.8$

Thus, population of Italy in 2025 is nearly 63.8 million.

The population of Italy in 2025 is found by substituting $t=25$ in equation (1),

$P(25)=57.59e0.0051(25)=57.59e0.1275≈65.4$

Thus, population of Italy in 2025 is nearly 65.4 million.

Chapter 3.1, Problem 61E

Chapter 3.1, Problem 63E

Chapter 3 Solutions

EBK PRECALCULUS W/LIMITS

Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E Ch. 3.1 - Prob. 7E Ch. 3.1 - Prob. 8E Ch. 3.1 - Prob. 9E Ch. 3.1 - Prob. 10E

Ch. 3.1 - Prob. 11E Ch. 3.1 - Prob. 12E Ch. 3.1 - Prob. 13E Ch. 3.1 - Prob. 14E Ch. 3.1 - Prob. 15E Ch. 3.1 - Prob. 16E Ch. 3.1 - Prob. 17E Ch. 3.1 - Prob. 18E Ch. 3.1 - Prob. 19E Ch. 3.1 - Prob. 20E Ch. 3.1 - Prob. 21E Ch. 3.1 - Prob. 22E Ch. 3.1 - Prob. 23E Ch. 3.1 - Prob. 24E Ch. 3.1 - Prob. 25E Ch. 3.1 - Prob. 26E Ch. 3.1 - Prob. 27E Ch. 3.1 - Prob. 28E Ch. 3.1 - Prob. 29E Ch. 3.1 - Prob. 30E Ch. 3.1 - Prob. 31E Ch. 3.1 - Prob. 32E Ch. 3.1 - Prob. 33E Ch. 3.1 - Prob. 34E Ch. 3.1 - Prob. 35E Ch. 3.1 - Prob. 36E Ch. 3.1 - Prob. 37E Ch. 3.1 - Prob. 38E Ch. 3.1 - Prob. 39E Ch. 3.1 - Prob. 40E Ch. 3.1 - Prob. 41E Ch. 3.1 - Prob. 42E Ch. 3.1 - Prob. 43E Ch. 3.1 - Prob. 44E Ch. 3.1 - Prob. 45E Ch. 3.1 - Prob. 46E Ch. 3.1 - Prob. 47E Ch. 3.1 - Prob. 48E Ch. 3.1 - Prob. 49E Ch. 3.1 - Prob. 50E Ch. 3.1 - Prob. 51E Ch. 3.1 - Prob. 52E Ch. 3.1 - Prob. 53E Ch. 3.1 - Prob. 54E Ch. 3.1 - Prob. 55E Ch. 3.1 - Prob. 56E Ch. 3.1 - Prob. 57E Ch. 3.1 - Prob. 58E Ch. 3.1 - Prob. 59E Ch. 3.1 - Prob. 60E Ch. 3.1 - 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