For this case we have a function of the form:
[tex] y = A * (b) ^ x [/tex]
Where,
A: initial population of rabbits
b: growth rate
x: time in months
Substituting values we have:
[tex] y = 260 * (1.06) ^ x [/tex]
For the month number 12 we have:
[tex] y = 260 * (1.06) ^ {12}y = 523,171 [/tex]
Rounding to the nearest whole number we have:
[tex] y = 523 [/tex]
Answer:
For month number 12, the approximate population of rabbits is:
[tex] y = 523 [/tex]