Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 8.2, Problem 38PPS

(a)

To determine

To find: the equation for population growth model in terms of x.

(a)

Expert Solution
Check Mark

Answer to Problem 38PPS

The equation for the area a defended by beaver weighing wpounds is y=1.161w1.31

Explanation of Solution

Given information:

In 1950, the world population was about 2.556billion and by 1980, it had increased to about 4.458billion.

Consider the given information.

In 1950, the world population was about 2.556billion and by 1980, it had increased to about 4.458billion.

So, In the 30years , the population are increased from 2.556billion to 4.458billion.

Substitute 4.458 for y , 2.556 for a , and 30 for x in the general exponential function y=abx ..

  4.458=2.556(b)xb30=4.4582.556b=(1.744)130=1.019

Substitute 2.556 for a , a 1.019 for b in the equation y=abx.

  y(x)=2.556(1.019)x

Therefore, the equation for population growth model in terms of x is y(x)=2.556(1.019)x.

(b)

To determine

To find: the population of the world in the year 2000.

(b)

Expert Solution
Check Mark

Answer to Problem 38PPS

The population in the year 2000 is 6.55billion.

Explanation of Solution

Given information:

In 1950, the world population was about 2.556billion and by 1980, it had increased to about 4.458billion.

Consider the given information.

Substitute 50 for x in the exponential function y(x)=2.556(1.019)x.

  y(x)=2.556(1.019)50=2.556(2.56)=6.55billion

Therefore, the population in the year 2000 is 6.55billion.

(c)

To determine

To find: the comparison of the estimated and actual population result.

(c)

Expert Solution
Check Mark

Answer to Problem 38PPS

The estimate population of the world is greater than the actual population of the world.

Explanation of Solution

Given information:

In 1950, the world population was about 2.556billion and by 1980, it had increased to about 4.458billion.

Consider the given information.

The calculated population of the world is 6.55billion and exact population of the world is 6.08billion.

So, the estimate population of the world is greater than the actual population of the world.

Therefore, the estimate population of the world is greater than the actual population of the world.

(d)

To determine

To find: the population of the world in the year 2020.

(d)

Expert Solution
Check Mark

Answer to Problem 38PPS

The population in the year 2020 is 9.55billion.

Explanation of Solution

Given information:

In 1950, the world population was about 2.556billion and by 1980, it had increased to about 4.458billion.

Consider the given information.

Substitute 70 for x in the exponential function y(x)=2.556(1.019)x.

  y(70)=2.556(1.019)70=2.556(3.73)=9.55billion

Therefore, the population in the year 2020 is 9.55billion.

Chapter 8 Solutions

Algebra 2

Ch. 8.1 - Prob. 4CYUCh. 8.1 - Prob. 5CYUCh. 8.1 - Prob. 6CYUCh. 8.1 - Prob. 7CYUCh. 8.1 - Prob. 8CYUCh. 8.1 - Prob. 9CYUCh. 8.1 - Prob. 10CYUCh. 8.1 - Prob. 11CYUCh. 8.1 - Prob. 12CYUCh. 8.1 - Prob. 13PPSCh. 8.1 - Prob. 14PPSCh. 8.1 - Prob. 15PPSCh. 8.1 - Prob. 16PPSCh. 8.1 - Prob. 17PPSCh. 8.1 - Prob. 18PPSCh. 8.1 - Prob. 19PPSCh. 8.1 - Prob. 20PPSCh. 8.1 - Prob. 21PPSCh. 8.1 - Prob. 22PPSCh. 8.1 - Prob. 23PPSCh. 8.1 - Prob. 24PPSCh. 8.1 - Prob. 25PPSCh. 8.1 - Prob. 26PPSCh. 8.1 - Prob. 27PPSCh. 8.1 - Prob. 28PPSCh. 8.1 - Prob. 29PPSCh. 8.1 - Prob. 30PPSCh. 8.1 - Prob. 31PPSCh. 8.1 - Prob. 32PPSCh. 8.1 - Prob. 33PPSCh. 8.1 - Prob. 34HPCh. 8.1 - Prob. 35HPCh. 8.1 - Prob. 36HPCh. 8.1 - Prob. 37HPCh. 8.1 - Prob. 38HPCh. 8.1 - Prob. 39HPCh. 8.1 - Prob. 40HPCh. 8.1 - Prob. 41HPCh. 8.1 - Prob. 42HPCh. 8.1 - Prob. 43STPCh. 8.1 - Prob. 44STPCh. 8.1 - Prob. 45STPCh. 8.1 - Prob. 46STPCh. 8.1 - Prob. 47STPCh. 8.1 - Prob. 48STPCh. 8.1 - Prob. 49STPCh. 8.1 - Prob. 50STPCh. 8.1 - Prob. 51STPCh. 8.1 - 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Prob. 3ECh. 8.3 - Prob. 4ECh. 8.3 - Prob. 5ECh. 8.4 - Prob. 1ACYPCh. 8.4 - Prob. 1BCYPCh. 8.4 - Prob. 2CYPCh. 8.4 - Prob. 3ACYPCh. 8.4 - Prob. 3BCYPCh. 8.4 - Prob. 4CYPCh. 8.4 - Prob. 1CYUCh. 8.4 - Prob. 2CYUCh. 8.4 - Prob. 3CYUCh. 8.4 - Prob. 4CYUCh. 8.4 - Prob. 5CYUCh. 8.4 - Prob. 6CYUCh. 8.4 - Prob. 7CYUCh. 8.4 - Prob. 8PPSCh. 8.4 - Prob. 9PPSCh. 8.4 - Prob. 10PPSCh. 8.4 - Prob. 11PPSCh. 8.4 - Prob. 12PPSCh. 8.4 - Prob. 13PPSCh. 8.4 - Prob. 14PPSCh. 8.4 - Prob. 15PPSCh. 8.4 - Prob. 16PPSCh. 8.4 - Prob. 17PPSCh. 8.4 - Prob. 18PPSCh. 8.4 - Prob. 19PPSCh. 8.4 - Prob. 20PPSCh. 8.4 - Prob. 21PPSCh. 8.4 - Prob. 22PPSCh. 8.4 - Prob. 23PPSCh. 8.4 - Prob. 24PPSCh. 8.4 - Prob. 25PPSCh. 8.4 - Prob. 26PPSCh. 8.4 - Prob. 27PPSCh. 8.4 - Prob. 28PPSCh. 8.4 - Prob. 29PPSCh. 8.4 - Prob. 30PPSCh. 8.4 - Prob. 31PPSCh. 8.4 - Prob. 32PPSCh. 8.4 - Prob. 33PPSCh. 8.4 - Prob. 34PPSCh. 8.4 - Prob. 35PPSCh. 8.4 - Prob. 36PPSCh. 8.4 - Prob. 37PPSCh. 8.4 - Prob. 38HPCh. 8.4 - Prob. 39HPCh. 8.4 - Prob. 40HPCh. 8.4 - Prob. 41HPCh. 8.4 - Prob. 42HPCh. 8.4 - Prob. 43HPCh. 8.4 - Prob. 44HPCh. 8.4 - Prob. 45HPCh. 8.4 - Prob. 46HPCh. 8.4 - Prob. 47HPCh. 8.4 - Prob. 48HPCh. 8.4 - Prob. 49STPCh. 8.4 - Prob. 50STPCh. 8.4 - Prob. 51STPCh. 8.4 - Prob. 52STPCh. 8.4 - Prob. 53STPCh. 8.4 - Prob. 54STPCh. 8.4 - Prob. 55STPCh. 8.4 - Prob. 56STPCh. 8.4 - Prob. 57STPCh. 8.4 - Prob. 58STPCh. 8.4 - Prob. 59STPCh. 8.4 - Prob. 60STPCh. 8.4 - Prob. 61STPCh. 8.4 - Prob. 62STPCh. 8.4 - Prob. 63SCh. 8.4 - Prob. 64SCh. 8.4 - Prob. 65SCh. 8.4 - Prob. 66SCh. 8.4 - Prob. 67SCh. 8.4 - Prob. 68SCh. 8.5 - Prob. 1CYPCh. 8.5 - Prob. 2CYPCh. 8.5 - Prob. 3CYPCh. 8.5 - Prob. 4ACYPCh. 8.5 - Prob. 4BCYPCh. 8.5 - Prob. 1CYUCh. 8.5 - Prob. 2CYUCh. 8.5 - Prob. 3CYUCh. 8.5 - Prob. 4CYUCh. 8.5 - Prob. 5CYUCh. 8.5 - Prob. 6CYUCh. 8.5 - Prob. 7CYUCh. 8.5 - Prob. 8CYUCh. 8.5 - Prob. 9CYUCh. 8.5 - Prob. 10CYUCh. 8.5 - Prob. 11CYUCh. 8.5 - Prob. 12PPSCh. 8.5 - Prob. 13PPSCh. 8.5 - Prob. 14PPSCh. 8.5 - Prob. 15PPSCh. 8.5 - Prob. 16PPSCh. 8.5 - Prob. 17PPSCh. 8.5 - Prob. 18PPSCh. 8.5 - Prob. 19PPSCh. 8.5 - Prob. 20PPSCh. 8.5 - Prob. 21PPSCh. 8.5 - Prob. 22PPSCh. 8.5 - Prob. 23PPSCh. 8.5 - Prob. 24PPSCh. 8.5 - Prob. 25PPSCh. 8.5 - Prob. 26PPSCh. 8.5 - Prob. 27PPSCh. 8.5 - Prob. 28PPSCh. 8.5 - Prob. 29PPSCh. 8.5 - Prob. 30PPSCh. 8.5 - Prob. 31PPSCh. 8.5 - Prob. 32PPSCh. 8.5 - Prob. 33PPSCh. 8.5 - Prob. 34PPSCh. 8.5 - Prob. 35PPSCh. 8.5 - Prob. 36PPSCh. 8.5 - Prob. 37PPSCh. 8.5 - Prob. 38PPSCh. 8.5 - Prob. 39PPSCh. 8.5 - Prob. 40PPSCh. 8.5 - Prob. 41PPSCh. 8.5 - Prob. 42PPSCh. 8.5 - Prob. 43PPSCh. 8.5 - Prob. 44PPSCh. 8.5 - Prob. 45PPSCh. 8.5 - Prob. 46PPSCh. 8.5 - Prob. 47PPSCh. 8.5 - Prob. 48PPSCh. 8.5 - Prob. 49PPSCh. 8.5 - Prob. 50PPSCh. 8.5 - Prob. 51PPSCh. 8.5 - Prob. 52PPSCh. 8.5 - Prob. 53PPSCh. 8.5 - Prob. 54PPSCh. 8.5 - Prob. 55PPSCh. 8.5 - Prob. 56PPSCh. 8.5 - Prob. 57PPSCh. 8.5 - Prob. 58PPSCh. 8.5 - Prob. 59PPSCh. 8.5 - Prob. 60PPSCh. 8.5 - Prob. 61HPCh. 8.5 - Prob. 62HPCh. 8.5 - Prob. 63HPCh. 8.5 - Prob. 64HPCh. 8.5 - Prob. 65HPCh. 8.5 - 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Prob. 5CYUCh. 8.7 - Prob. 6CYUCh. 8.7 - Prob. 7CYUCh. 8.7 - Prob. 8CYUCh. 8.7 - Prob. 9CYUCh. 8.7 - Prob. 10CYUCh. 8.7 - Prob. 11CYUCh. 8.7 - Prob. 12CYUCh. 8.7 - Prob. 13CYUCh. 8.7 - Prob. 14CYUCh. 8.7 - Prob. 15CYUCh. 8.7 - Prob. 16CYUCh. 8.7 - Prob. 17CYUCh. 8.7 - Prob. 18CYUCh. 8.7 - Prob. 19CYUCh. 8.7 - Prob. 20PPSCh. 8.7 - Prob. 21PPSCh. 8.7 - Prob. 22PPSCh. 8.7 - Prob. 23PPSCh. 8.7 - Prob. 24PPSCh. 8.7 - Prob. 25PPSCh. 8.7 - Prob. 26PPSCh. 8.7 - Prob. 27PPSCh. 8.7 - Prob. 28PPSCh. 8.7 - Prob. 29PPSCh. 8.7 - Prob. 30PPSCh. 8.7 - Prob. 31PPSCh. 8.7 - Prob. 32PPSCh. 8.7 - Prob. 33PPSCh. 8.7 - Prob. 34PPSCh. 8.7 - Prob. 35PPSCh. 8.7 - Prob. 36PPSCh. 8.7 - Prob. 37PPSCh. 8.7 - Prob. 38PPSCh. 8.7 - Prob. 39PPSCh. 8.7 - Prob. 40PPSCh. 8.7 - Prob. 41PPSCh. 8.7 - Prob. 42PPSCh. 8.7 - Prob. 43PPSCh. 8.7 - Prob. 44PPSCh. 8.7 - Prob. 45PPSCh. 8.7 - Prob. 46PPSCh. 8.7 - Prob. 47PPSCh. 8.7 - Prob. 48PPSCh. 8.7 - Prob. 49PPSCh. 8.7 - Prob. 50PPSCh. 8.7 - Prob. 51PPSCh. 8.7 - Prob. 52PPSCh. 8.7 - Prob. 53PPSCh. 8.7 - Prob. 54PPSCh. 8.7 - Prob. 55PPSCh. 8.7 - Prob. 56PPSCh. 8.7 - Prob. 57PPSCh. 8.7 - Prob. 58HPCh. 8.7 - Prob. 59HPCh. 8.7 - Prob. 60HPCh. 8.7 - Prob. 61HPCh. 8.7 - Prob. 62HPCh. 8.7 - Prob. 63HPCh. 8.7 - Prob. 64HPCh. 8.7 - Prob. 65HPCh. 8.7 - Prob. 66HPCh. 8.7 - Prob. 67STPCh. 8.7 - Prob. 68STPCh. 8.7 - Prob. 69STPCh. 8.7 - Prob. 70STPCh. 8.7 - Prob. 71STPCh. 8.7 - Prob. 72STPCh. 8.7 - Prob. 73STPCh. 8.7 - Prob. 74STPCh. 8.7 - Prob. 75STPCh. 8.7 - Prob. 76STPCh. 8.7 - Prob. 77SCh. 8.7 - Prob. 78SCh. 8.7 - Prob. 79SCh. 8.7 - Prob. 80SCh. 8.7 - Prob. 81SCh. 8.7 - Prob. 82SCh. 8.7 - Prob. 1ECh. 8.7 - Prob. 2ECh. 8.7 - Prob. 3ECh. 8.7 - Prob. 4ECh. 8.7 - Prob. 5ECh. 8.7 - Prob. 6ECh. 8.8 - Prob. 1CYPCh. 8.8 - Prob. 2ACYPCh. 8.8 - Prob. 2BCYPCh. 8.8 - Prob. 3ACYPCh. 8.8 - Prob. 3BCYPCh. 8.8 - Prob. 4ACYPCh. 8.8 - Prob. 4BCYPCh. 8.8 - Prob. 4CCYPCh. 8.8 - Prob. 4DCYPCh. 8.8 - Prob. 1CYUCh. 8.8 - Prob. 2CYUCh. 8.8 - Prob. 3CYUCh. 8.8 - Prob. 4PPSCh. 8.8 - Prob. 5PPSCh. 8.8 - Prob. 6PPSCh. 8.8 - Prob. 7PPSCh. 8.8 - Prob. 8PPSCh. 8.8 - Prob. 9PPSCh. 8.8 - Prob. 10PPSCh. 8.8 - Prob. 11PPSCh. 8.8 - Prob. 12PPSCh. 8.8 - Prob. 13PPSCh. 8.8 - Prob. 14HPCh. 8.8 - Prob. 15HPCh. 8.8 - Prob. 16HPCh. 8.8 - Prob. 17HPCh. 8.8 - Prob. 18HPCh. 8.8 - Prob. 19HPCh. 8.8 - Prob. 20HPCh. 8.8 - Prob. 21HPCh. 8.8 - Prob. 22HPCh. 8.8 - Prob. 23STPCh. 8.8 - Prob. 24STPCh. 8.8 - Prob. 25STPCh. 8.8 - Prob. 26STPCh. 8.8 - Prob. 27SCh. 8.8 - Prob. 28SCh. 8.8 - Prob. 29SCh. 8.8 - Prob. 30SCh. 8.8 - Prob. 31SCh. 8.8 - Prob. 32SCh. 8.8 - Prob. 33SCh. 8.8 - Prob. 34SCh. 8 - Prob. 1QCCh. 8 - Prob. 2QCCh. 8 - Prob. 3QCCh. 8 - Prob. 4QCCh. 8 - Prob. 5QCCh. 8 - Prob. 6QCCh. 8 - Prob. 7QCCh. 8 - Prob. 8QCCh. 8 - Prob. 9QCCh. 8 - Prob. 10QCCh. 8 - Prob. 11QCCh. 8 - Prob. 12QCCh. 8 - Prob. 13QCCh. 8 - Prob. 14QCCh. 8 - Prob. 1MCQCh. 8 - Prob. 2MCQCh. 8 - Prob. 3MCQCh. 8 - Prob. 4MCQCh. 8 - Prob. 5MCQCh. 8 - Prob. 6MCQCh. 8 - Prob. 7MCQCh. 8 - Prob. 8MCQCh. 8 - Prob. 9MCQCh. 8 - Prob. 10MCQCh. 8 - Prob. 11MCQCh. 8 - Prob. 12MCQCh. 8 - Prob. 13MCQCh. 8 - Prob. 14MCQCh. 8 - Prob. 15MCQCh. 8 - Prob. 16MCQCh. 8 - Prob. 17MCQCh. 8 - Prob. 18MCQCh. 8 - Prob. 19MCQCh. 8 - Prob. 20MCQCh. 8 - Prob. 21MCQCh. 8 - Prob. 22MCQCh. 8 - Prob. 23MCQCh. 8 - Prob. 24MCQCh. 8 - Prob. 1SGRCh. 8 - Prob. 2SGRCh. 8 - Prob. 3SGRCh. 8 - Prob. 4SGRCh. 8 - Prob. 5SGRCh. 8 - Prob. 6SGRCh. 8 - Prob. 7SGRCh. 8 - Prob. 8SGRCh. 8 - Prob. 9SGRCh. 8 - Prob. 10SGRCh. 8 - Prob. 11SGRCh. 8 - Prob. 12SGRCh. 8 - Prob. 13SGRCh. 8 - Prob. 14SGRCh. 8 - Prob. 15SGRCh. 8 - Prob. 16SGRCh. 8 - Prob. 17SGRCh. 8 - Prob. 18SGRCh. 8 - Prob. 19SGRCh. 8 - Prob. 20SGRCh. 8 - Prob. 21SGRCh. 8 - Prob. 22SGRCh. 8 - Prob. 23SGRCh. 8 - Prob. 24SGRCh. 8 - Prob. 25SGRCh. 8 - Prob. 26SGRCh. 8 - Prob. 27SGRCh. 8 - Prob. 28SGRCh. 8 - Prob. 29SGRCh. 8 - Prob. 30SGRCh. 8 - Prob. 31SGRCh. 8 - Prob. 32SGRCh. 8 - Prob. 33SGRCh. 8 - Prob. 34SGRCh. 8 - Prob. 35SGRCh. 8 - Prob. 36SGRCh. 8 - Prob. 37SGRCh. 8 - Prob. 38SGRCh. 8 - Prob. 39SGRCh. 8 - Prob. 40SGRCh. 8 - Prob. 41SGRCh. 8 - Prob. 42SGRCh. 8 - Prob. 43SGRCh. 8 - Prob. 44SGRCh. 8 - Prob. 45SGRCh. 8 - Prob. 46SGRCh. 8 - Prob. 47SGRCh. 8 - Prob. 48SGRCh. 8 - Prob. 49SGRCh. 8 - Prob. 50SGRCh. 8 - Prob. 51SGRCh. 8 - Prob. 52SGRCh. 8 - Prob. 53SGRCh. 8 - Prob. 54SGRCh. 8 - Prob. 55SGRCh. 8 - Prob. 56SGRCh. 8 - Prob. 57SGRCh. 8 - Prob. 58SGRCh. 8 - Prob. 59SGRCh. 8 - Prob. 60SGRCh. 8 - Prob. 61SGRCh. 8 - Prob. 62SGRCh. 8 - Prob. 63SGRCh. 8 - Prob. 64SGRCh. 8 - Prob. 65SGRCh. 8 - Prob. 1PTCh. 8 - Prob. 2PTCh. 8 - Prob. 3PTCh. 8 - Prob. 4PTCh. 8 - Prob. 5PTCh. 8 - Prob. 6PTCh. 8 - Prob. 7PTCh. 8 - Prob. 8PTCh. 8 - Prob. 9PTCh. 8 - Prob. 10PTCh. 8 - Prob. 11PTCh. 8 - Prob. 12PTCh. 8 - Prob. 13PTCh. 8 - Prob. 14PTCh. 8 - Prob. 15PTCh. 8 - Prob. 16PTCh. 8 - Prob. 17PTCh. 8 - Prob. 18PTCh. 8 - Prob. 19PTCh. 8 - Prob. 20PTCh. 8 - Prob. 21PTCh. 8 - Prob. 1ECh. 8 - Prob. 2ECh. 8 - Prob. 3ECh. 8 - Prob. 1STPCh. 8 - Prob. 2STPCh. 8 - Prob. 3STPCh. 8 - Prob. 4STPCh. 8 - Prob. 5STPCh. 8 - Prob. 6STPCh. 8 - Prob. 7STPCh. 8 - Prob. 8STPCh. 8 - Prob. 9STPCh. 8 - Prob. 10STPCh. 8 - Prob. 11STPCh. 8 - Prob. 12STPCh. 8 - Prob. 13STPCh. 8 - Prob. 14STPCh. 8 - Prob. 15STP
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