High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
15th Edition
ISBN: 9780133281149
Author: Prentice Hall
Publisher: Prentice Hall
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Question
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Chapter 5, Problem 16CT
To determine

To graph: Trend line and to interpolate to estimate the number of inventors applying for patents in 2006 and in 2015.

Expert Solution & Answer
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Explanation of Solution

Given information:

Data provided in the question that are used to draw the trend line is

  High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9, Chapter 5, Problem 16CT , additional homework tip 1

Here in the table x1 is the year and y1 is the inventors.

Graph: the scatter plot and the trend line is shown as

  High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9, Chapter 5, Problem 16CT , additional homework tip 2

Interpretation:

Interpolate the data to estimate the number of inventors applying for patents in 2006 which can be done by connecting the points on either side of 2006 with a straight line and find the equation of that line.

By observing the graph we can find

Slope m=13748−140392007−2005=−2912

Equation of the trend line y=mx+b

Put x=2005,y=14039,m=−2912

  ⇒14039=−2912×2005+b

  ∴b=14039+291727.5=305766.5

Now to estimate the number of inventors applying for patents in 2006

Substitute x=2006 in the equation

  ⇒y=−2912×2006+305766.5y=13893.5

Similarly estimate the number of inventors applying for patents in 2015

Substitute x=2015 in the equation

  ⇒y=−2912×2015+305766.5y=12584

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Chapter 5, Problem 15CT
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Chapter 5, Problem 17CT

Chapter 5 Solutions

High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9

Ch. 5.1 - Prob. 1PCh. 5.1 - Prob. 2PCh. 5.1 - Prob. 3PCh. 5.1 - Prob. 4PCh. 5.1 - Prob. 1LCCh. 5.1 - Prob. 2LCCh. 5.1 - Prob. 3LCCh. 5.1 - Prob. 4LCCh. 5.1 - Prob. 5LCCh. 5.1 - Prob. 6LC
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Prob. 72MRCh. 5.5 - Prob. 73MRCh. 5.5 - Prob. 74MRCh. 5.5 - Prob. 75MRCh. 5.5 - Prob. 76MRCh. 5.5 - Prob. 77MRCh. 5.5 - Prob. 1CBCh. 5.5 - Prob. 2CBCh. 5.5 - Prob. 3CBCh. 5.5 - Prob. 4CBCh. 5.5 - Prob. 5CBCh. 5.5 - Prob. 6CBCh. 5.5 - Prob. 7CBCh. 5.5 - Prob. 8CBCh. 5.5 - Prob. 9CBCh. 5.5 - Prob. 10CBCh. 5.5 - Prob. 11CBCh. 5.5 - Prob. 12CBCh. 5.5 - Prob. 13CBCh. 5.5 - Prob. 14CBCh. 5.5 - Prob. 15CBCh. 5.5 - Prob. 16CBCh. 5.5 - Prob. 17CBCh. 5.5 - Prob. 18CBCh. 5.5 - Prob. 19CBCh. 5.6 - Prob. 1PCh. 5.6 - Prob. 2PCh. 5.6 - Prob. 3PCh. 5.6 - Prob. 4PCh. 5.6 - Prob. 1LCCh. 5.6 - Prob. 2LCCh. 5.6 - Prob. 3LCCh. 5.6 - Prob. 4LCCh. 5.6 - Prob. 5LCCh. 5.6 - Prob. 6LCCh. 5.6 - Prob. 7PPECh. 5.6 - Prob. 8PPECh. 5.6 - Prob. 9PPECh. 5.6 - Prob. 10PPECh. 5.6 - Prob. 11PPECh. 5.6 - Prob. 12PPECh. 5.6 - Prob. 13PPECh. 5.6 - Prob. 14PPECh. 5.6 - Prob. 15PPECh. 5.6 - Prob. 16PPECh. 5.6 - Prob. 17PPECh. 5.6 - Prob. 18PPECh. 5.6 - Prob. 19PPECh. 5.6 - Prob. 20PPECh. 5.6 - Prob. 21PPECh. 5.6 - Prob. 22PPECh. 5.6 - 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