Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015

1st Edition

ISBN: 9781680331165

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Question

Chapter 4.8, Problem 48E

To determine

To sketch: the graph of the function for the interval $0≤x≤41$ , and to describe the public school enrollment changes over this period of time.

Expert Solution & Answer

Answer to Problem 48E

The public school enrollment increases in interval $o<t<11.66$ and $29.8<t<41$ . The public school enrollment decreases in interval $11.66<t<29.8$ . The maximum enrollment is 44970.93 and minimum is 40078.21.

Explanation of Solution

Given information:

The function,

$S=1.64x3−102x2+1710x+36300$

The number $S$ of students enrolled in public schools in a certain country can be modeled, where $x$ is time.

Calculation:

Input function using key $1.64X∧3−102Xx2+1710X+36300$ .

The display is shown below:

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015, Chapter 4.8, Problem 48E , additional homework tip 1

Adjust the WINDOW and hit GRAPH key.

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015, Chapter 4.8, Problem 48E , additional homework tip 2

Press 2ⁿ^dTRACE to go the CALCULATE menu and highlight the Maximum and press ENTER.

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015, Chapter 4.8, Problem 48E , additional homework tip 3

When asked for left bound and right bound, move cursor to the left or right of observed Maximum location.

When asked for Guess, simply Hit ENTER key.

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015, Chapter 4.8, Problem 48E , additional homework tip 4

Therefore, local maximum is at approximately $(11.66,44970.93)$ .

Press 2ⁿ^dTRACE to go the CALCULATE menu and highlight the Minimum and press ENTER.

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015, Chapter 4.8, Problem 48E , additional homework tip 5

When asked for left bound and right bound, move cursor to the left or right of observed Maximum location.

When asked for Guess, simply Hit ENTER key.

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015, Chapter 4.8, Problem 48E , additional homework tip 6

Therefore, local minimum is at approximately $(29.8,40078.21)$ .

Therefore, the public school enrollment increases in interval $o<t<11.66$ and $29.8<t<41$ . The public school enrollment decreases in interval $11.66<t<29.8$ . The maximum enrollment is 44970.93 and minimum is 40078.21.

Chapter 4.8, Problem 47E

Chapter 4.8, Problem 49E

Chapter 4 Solutions

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015

Ch. 4.1 - Prob. 1E Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E 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

Ch. 4.1 - Prob. 11E Ch. 4.1 - Prob. 12E Ch. 4.1 - Prob. 13E Ch. 4.1 - Prob. 14E Ch. 4.1 - Prob. 15E Ch. 4.1 - Prob. 16E Ch. 4.1 - Prob. 17E Ch. 4.1 - Prob. 18E Ch. 4.1 - Prob. 19E Ch. 4.1 - Prob. 20E Ch. 4.1 - Prob. 21E Ch. 4.1 - Prob. 22E Ch. 4.1 - Prob. 23E Ch. 4.1 - Prob. 24E Ch. 4.1 - Prob. 25E Ch. 4.1 - Prob. 26E Ch. 4.1 - Prob. 27E Ch. 4.1 - Prob. 28E Ch. 4.1 - Prob. 29E Ch. 4.1 - Prob. 30E Ch. 4.1 - Prob. 31E Ch. 4.1 - Prob. 32E Ch. 4.1 - Prob. 33E Ch. 4.1 - Prob. 34E Ch. 4.1 - Prob. 35E Ch. 4.1 - Prob. 36E Ch. 4.1 - Prob. 37E Ch. 4.1 - Prob. 38E Ch. 4.1 - Prob. 39E Ch. 4.1 - Prob. 40E Ch. 4.1 - Prob. 41E Ch. 4.1 - Prob. 42E Ch. 4.1 - Prob. 43E Ch. 4.1 - Prob. 44E Ch. 4.1 - Prob. 45E Ch. 4.1 - Prob. 46E Ch. 4.1 - Prob. 47E Ch. 4.1 - Prob. 48E Ch. 4.1 - Prob. 49E Ch. 4.1 - Prob. 50E Ch. 4.1 - Prob. 51E Ch. 4.1 - Prob. 52E Ch. 4.1 - Prob. 53E Ch. 4.1 - Prob. 54E Ch. 4.1 - Prob. 55E Ch. 4.1 - Prob. 56E Ch. 4.2 - Prob. 1E Ch. 4.2 - Prob. 2E Ch. 4.2 - Prob. 3E Ch. 4.2 - Prob. 4E Ch. 4.2 - 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the graph of the function for the interval 0 ≤ x ≤ 41 , and to describe the public school enrollment changes over this period of time.

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To sketch: the graph of the function for the interval 0≤x≤41<m:math><m:mrow><m:mn>0</m:mn><m:mo>≤</m:mo><m:mi>x</m:mi><m:mo>≤</m:mo><m:mn>41</m:mn></m:mrow></m:math>, and to describe the public school enrollment changes over this period of time.

Answer to Problem 48E

Explanation of Solution

Chapter 4 Solutions

To sketch: the graph of the function for the interval $0≤x≤41$ , and to describe the public school enrollment changes over this period of time.