Math Snap

STEP 1

Assumptions1. The percent change in beer shipments can be approximated by the linear equation $y=-3.9x+27.3$
. In this equation, $x=7$ corresponds to the year20073. We need to find the percent change that occurred by the year2010

STEP 2

First, we need to determine the value of $x$ that corresponds to the year2010. Since $x=7$ corresponds to the year2007, we can add to7 to get the value of $x$ for the year2010.
$$x =7 +$$

STEP 3

Calculate the value of $x$ for the year2010.
$$x =7 +3 =10$$

STEP 4

Now that we have the value of $x$ for the year2010, we can substitute this into the equation to find the percent change in beer shipments that occurred by2010.
$$y = -3.9x +27.3$$

STEP 5

Substitute $x=10$ into the equation.
$$y = -3.9(10) +27.3$$

Calculate the value of $y$.
$$y = -3.9(10) +27.3 =11.$$The percent change in beer shipments since200 that occurred by2010 is $11.\%$.