The tiger population loses 3/5 of its size every 0.333 decades.
An exponential function is what can be represented by the equation
y = aˣ
The number of tigers N(t) has been modeled by the equation
[tex]\rm N(t) = 710 * (\dfrac{8}{125})^t[/tex]
The tiger population loses 3/5th of its size in how much decade has to be found.
if it loses 3/5, the remaining will be 3/5 of the size so,
[tex]\rm \dfrac{2}{5} * 710 = 710 * (\dfrac{8}{125})^t\\\\\\dfrac{2}{5} = (\dfrac{8}{125})^t\\[/tex]
Taking log on both the sides
ln 2 - ln 5 = t( ln 8-ln 125)
t= 0.333
Therefore, the tiger population loses 3/5 of its size every 0.333 decades.
To know more about Exponential Function
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