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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Chapter 5.7, Problem 9PPE
To determine

To graph: the scatter plot of the data trend line and make it equation with the help of given information.

Expert Solution & Answer
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Answer to Problem 9PPE

The scatter plot:

  High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9, Chapter 5.7, Problem 9PPE , additional homework tip  1

The trend line:

  High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9, Chapter 5.7, Problem 9PPE , additional homework tip  2

The attendance at U.S. theme park in the year 2005 is 393.5 millions.

Explanation of Solution

Given information:

Consider the following table for the attendance and revenue at U.S:

  High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9, Chapter 5.7, Problem 9PPE , additional homework tip  3

Calculation:

Make a scatter plot of the data

Treat the data as ordered pairs

For the year of 1990 and the attendance of 253, plot (1990, 253) and so on.

  High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9, Chapter 5.7, Problem 9PPE , additional homework tip  4

Make a scatter plot and draw a trend line.

  High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9, Chapter 5.7, Problem 9PPE , additional homework tip  5

Estimate the coordinates of two points on the line.

Suppose take any two points on trend line that is (4,267) and (6,290).

Write an equation of the trend line.

First find the slope of the trend line.

  m=y2y1x2x1=29026764=232=11.5

Use slope intercept form,

Substitute 11.5 for m and (x1,y1) for (4,267) in the slope intercept form yy1=m(xx1) to get the equation of the best line.

  yy1=m(xx1)y267=11.5(x4)y267=11.5x11.5(4)y=11.5x46+267y=11.5x+221

Therefore, the equation of the best line is y=11.5x+221

To estimate the attendance at U.S. theme park in 2005.

Substitute 15 for x in the equation y=11.5x+221 to get the attendance at U.S. theme park in the year 2005

  y=11.5x+221=11.5(15)+221=172.5+221=393.5

Therefore, the attendance at U.S. theme park in the year 2005 is 393.5 millions.

Chapter 5 Solutions

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

Ch. 5.1 - Prob. 7LCCh. 5.1 - Prob. 8PPECh. 5.1 - Prob. 9PPECh. 5.1 - Prob. 10PPECh. 5.1 - Prob. 11PPECh. 5.1 - Prob. 12PPECh. 5.1 - Prob. 13PPECh. 5.1 - Prob. 14PPECh. 5.1 - Prob. 15PPECh. 5.1 - Prob. 16PPECh. 5.1 - Prob. 17PPECh. 5.1 - Prob. 18PPECh. 5.1 - Prob. 19PPECh. 5.1 - Prob. 20PPECh. 5.1 - Prob. 21PPECh. 5.1 - Prob. 22PPECh. 5.1 - Prob. 23PPECh. 5.1 - Prob. 24PPECh. 5.1 - Prob. 25PPECh. 5.1 - Prob. 26PPECh. 5.1 - Prob. 27PPECh. 5.1 - Prob. 28PPECh. 5.1 - Prob. 29PPECh. 5.1 - Prob. 30PPECh. 5.1 - Prob. 31PPECh. 5.1 - Prob. 32PPECh. 5.1 - Prob. 33PPECh. 5.1 - Prob. 34PPECh. 5.1 - Prob. 35PPECh. 5.1 - Prob. 36PPECh. 5.1 - Prob. 37PPECh. 5.1 - Prob. 38PPECh. 5.1 - Prob. 39PPECh. 5.1 - Prob. 40PPECh. 5.1 - Prob. 41PPECh. 5.1 - Prob. 42PPECh. 5.1 - Prob. 43PPECh. 5.1 - Prob. 44PPECh. 5.1 - Prob. 45PPECh. 5.1 - Prob. 46PPECh. 5.1 - Prob. 47PPECh. 5.1 - Prob. 48PPECh. 5.1 - Prob. 49PPECh. 5.1 - Prob. 50PPECh. 5.1 - Prob. 51PPECh. 5.1 - Prob. 52PPECh. 5.1 - Prob. 53PPECh. 5.1 - Prob. 54PPECh. 5.1 - 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