Question

Find all for both functions.Growth or decay?A = B = % increase or decreaserangel1. y= 3(3/2)x 2. Y = 2(2/3)x

Answer 1

the given expression is

y = 3(3/2)^x

put x = 1

y = 3(3/2)

y = 9/2

put x = 2

y = 3 (9/4)

y = 27/4

so the percentage growth is,

$=\frac{\frac{27}{4}-\frac{9}{2}}{\frac{9}{2}}\times100$$\begin{gathered} =\frac{\frac{27-18}{4}}{\frac{9}{2}}\times100 \\ =\frac{\frac{9}{4}}{\frac{9}{2}}\times100 \\ =\frac{9\times2}{4\times9}\times100 \\ \\ =50\text{ \%} \end{gathered}$