The exponential growth equation that represent the rabbit population y) after x years is y = 500(1.25)ˣ
An exponential growth is given by:
y = abˣ
where a is the initial value of y, b is the multiplier and b>1, y, x are variables.
Let y represent the total rabbit population after x years.
Since there were 500, introduced hence a = 500. Also the population increases 25% each year, hence:
b = 100% + 25% = 1 + 0.25 = 1.25
y = 500(1.25)ˣ
The exponential growth equation becomes y = 500(1.25)ˣ
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