Answer:
The best way to know if an equation represents an exponential growth or decay is to look a the base of the exponentiation.
If the base is larger than 1, it will be an exponential growth.
For example, [tex]3^{2} = 9[/tex]
If the base is smaller than 1, it will be an exponential decay.
For example, [tex]0.5^{2} = 0.25[/tex]
If the function does not have an exponent, that means there will be no exponential growth or decay.
Therefore:
Exponential Decay (base smaller than 1):
[tex]W=\frac{9}{8}(\frac{3}{5})^{t}[/tex]
[tex]f(t)=(\frac{3}{4}) ^t[/tex]
[tex]L=4.2(0.6)^t[/tex]
Exponential Growth (base larger than 1):
[tex]L=0.25(12)^t[/tex]
[tex]W=0.5(2.1)^t[/tex]
[tex]f(t)=2/3(6)^t[/tex]
Not exponential growth or decay (no exponent):
G(x)=1.3(x)
