Personal consumption expenditures (in billions of dollars) for several types of recreation from 2009 through 2014 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.

A model for the data is given by

z = 0.23x + 0.14y + 6.85.(b) Interpret the partial derivatives in the context of the problem.

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Year 2009 2010 2011 2012 2013 2014 37.2 38.8 41.3 44.6 47.0 50.3 28.0 30.0 21.6 22.4 X y N 25.2 26.3 18.8 19.2 28.3 28.5 20.4 20.6