Answer :
This is an exponential function.
At year [tex]x[/tex], the number of rabbits would be as follows:
[tex]y=4e ^{(x*(In2))} [/tex]
Where x is the number of years
At year [tex]x[/tex], the number of rabbits would be as follows:
[tex]y=4e ^{(x*(In2))} [/tex]
Where x is the number of years
R=Number of rabbits
y=Years that have passed by { y ≥ 0 }
R=f(y) --> R is a function of y.
---------------------------------------------
Note that when:
y=0, R=4 ---> Point: (0, 4)
y=1, R=8 ---> Point (1, 8)
y=2, R=16 ---> Point (2, 16)
y=3, R=32 ---> Point (3, 32)
y=4, R=64 ---> Point (4, 64)
--------------------------------------------
So the equation you want is going to form a curved graph.
That equation is:
[tex]R={ 2 }^{ y+2 }[/tex]
*You can test out this function on any decent graphing software.
y=Years that have passed by { y ≥ 0 }
R=f(y) --> R is a function of y.
---------------------------------------------
Note that when:
y=0, R=4 ---> Point: (0, 4)
y=1, R=8 ---> Point (1, 8)
y=2, R=16 ---> Point (2, 16)
y=3, R=32 ---> Point (3, 32)
y=4, R=64 ---> Point (4, 64)
--------------------------------------------
So the equation you want is going to form a curved graph.
That equation is:
[tex]R={ 2 }^{ y+2 }[/tex]
*You can test out this function on any decent graphing software.
