Question

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 1

`-6.8\%`

Step-by-step 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:

`y=-3.4x+23.8`

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

`\begin{gathered} y=(-3.4\cdot9)+23.8 \\ y=-30.6+23.8 \\ y=-6.8\% \end{gathered}`

That is the answer.