Answer:
The percent change in quantity is -0.14%.
Step-by-step explanation:
The formula to compute the change in quantity is:
[tex]Income\ elasticity\ of\ demand=\frac{Percent\ change\ in\ qunatity\ demanded}{Percent\ change\ in\ price}[/tex]
The income elasticity of demand is 2.80.
Percent change in price is -5% (since the prices decreases)
Compute the percent change in quantity demanded as follows:
[tex]Income\ elasticity\ of\ demand=\frac{Percent\ change\ in\ qunatity\ demanded}{Percent\ change\ in\ price}\\2.80=\frac{Percent\ change\ in\ qunatity\ demanded}{-5\%}\\Percent\ change\ in\ qunatity\ demanded=2.80\times(-5\%)\\=-0.14\%[/tex]
Thus, the percent change in quantity is -0.14%.