Question

Yolanda owns 4 rabbits. She expects the number of rabbits to double every year.

Answer 1

R=Number of rabbits

y=Years that have passed by { y ≥ 0 }

R=f(y) --> R is a function of y.
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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)

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So the equation you want is going to form a curved graph.

That equation is:

$R={ 2 }^{ y+2 }$

*You can test out this function on any decent graphing software.

Answer 2

This is an exponential function.

At year $x$, the number of rabbits would be as follows:

$y=4e ^{(x*(In2))}$

Where x is the number of years