1. Modeling Data Personal consumption expenditures (in billions of dollars) for everal types of recreation from 2008 through 2013 are shown in the table, where x s the expenditures on amusement parks and campgrounds, y is the expenditures on ive entertainment (excluding sports), and z is the expenditures on spectator sports.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter2: Solving Linear Inequalities
Section2.2: Solving Inequalities Using Addition Or Substraction
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51. Modeling Data Personal consumption expenditures (in billions of dollars) for
several types of recreation from 2008 through 2013 are shown in the table, where x
is the expenditures on amusement parks and campgrounds, y is the expenditures on
live entertainment (excluding sports), and z is the expenditures on spectator sports.
Year 2008 2009 2010 2011 | 2012 2013
DATA
38.3 37.2 38.8 41.3 44.4 46.5
24.3 25.2 26.3 28.3 28.4 28.7
19.4 18.8 19.2 20.4 21.2 22.3
Spreadsheet at LarsonAppliedCalculus.com
A model for the data in the table is given by –0.391x + 0.069y +z = 6.
a) Add a fifth row to the table using the model to approximate z for the given
values of x and y. Compare the approximations with the actual values of z.
b) According to this model, increases in expenditures of recreation types y and
z would correspond to what kind of change in expenditures of recreation
type x?
Transcribed Image Text:51. Modeling Data Personal consumption expenditures (in billions of dollars) for several types of recreation from 2008 through 2013 are shown in the table, where x is the expenditures on amusement parks and campgrounds, y is the expenditures on live entertainment (excluding sports), and z is the expenditures on spectator sports. Year 2008 2009 2010 2011 | 2012 2013 DATA 38.3 37.2 38.8 41.3 44.4 46.5 24.3 25.2 26.3 28.3 28.4 28.7 19.4 18.8 19.2 20.4 21.2 22.3 Spreadsheet at LarsonAppliedCalculus.com A model for the data in the table is given by –0.391x + 0.069y +z = 6. a) Add a fifth row to the table using the model to approximate z for the given values of x and y. Compare the approximations with the actual values of z. b) According to this model, increases in expenditures of recreation types y and z would correspond to what kind of change in expenditures of recreation type x?
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