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Data indicates that the percent change in beer shipments since the year 2007 for a beer company can be approximated by y = -3.4x + 23.8 where x = 7 corresponds to the year 2007.Find the percent change since 2007 that occurred by 2009.The percent change in beer shipments since 2007 that occurred by 2009 is ___ %

Answer :

ANSWER

[tex]-6.8\%[/tex]

EXPLANATION

To find the percent change in beer shipments that occurred by 2009, we have to find the value of y when x is 9 for the equation:

[tex]y=-3.4x+23.8[/tex]

Therefore, we have that the percent change by 2009 is:

[tex]\begin{gathered} y=(-3.4\cdot9)+23.8 \\ y=-30.6+23.8 \\ y=-6.8\% \end{gathered}[/tex]

That is the answer.

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