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 year2007 Find the percent change since 2007 that occurred by 2009What value for x represents the year 2009?

Answer 1

From the question provided;

$y=-3.4x+23.8$

represents the percentage change in beer 2007.

For the year 2007, x = 7.

Therefore, for the year 2009, the percentage change would be represented a follows;

$\begin{gathered} y=-3.4x+23.8 \\ \text{Where;} \\ x=9 \\ y=-3.4(9)+23.8 \\ y=-30.6+23.8 \\ y=-6.8 \end{gathered}$

For the year 2009, x = 9 represents the year 2009

ANSWER:

(a) The percentage change is a reduction by 6.8% (that is -6.8)

(b) x = 9 represents the year 2009