Modeling Data Personal consumption expenditures (in billions of dollars) for several types of recreation from 2008 through 2013 are shown in the table, where a 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 |
X | 38.3 | 37.2 | 38.8 | 41.3 | 44.4 | 46.5 |
y | 24.3 | 25.2 | 26.3 | 28.3 | 28.4 | 28.7 |
z | 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
(Source: U.S. Bureau of Economic Analysis)
(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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