Answer: 12 months
Step-by-step explanation:
Given : A tree double in weight in three months.
Since the weight is increasing by growth factor of 2 , therefore its is an exponential growth.
The exponential growth equation is given by :-
(1)
, where A is the initial values , b is the growth factor and x is the time period.
As per given , b= 2
Since the tree doubles in weight in three months, so time period x = , where t= number of months.
Substitute the value of b and x in (1) , we get
, where y= weight of tree after t months and A is initial weight of tree.
When it will be 1600% of his initial weight , the weight of tree : y= 1600% of A =
At y= 16 A ,
Hence, it will take 12 months to be 1600% in weight.