Given is Y = 10000·(0.97)ˣ
This is an exponential equation whose general form is y = a·bˣ
where 'a' is the initial value and 'b' is the growth or decay factor.
If value of b is greater than 1, then it is growth of population.
If value of b is lesser than 1 but greater than 0, then it is decay of population.
On comparison of the given equation with its general form, we get a = 10000, b = 0.97
So initial value is 10000.
Since value of b is 0.97 i.e. lesser than 1, so it is decay of population.
Hence, the given equation represents "Decay".