The number of rabbits, R, in a population after m months is modelled by the formula R

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The number of rabbits, R, in a population after m months is modelled by the formula R = 12e0.2m

a. Use this model to estimate the number of rabbits after

i. 1 month 

ii. 1 year

b. Interpret the meaning of the constant 12 in this model.

c. Show that after 6 months, the rabbit population is increasing by almost 8 rabbits per month.

d. Suggest one reason why this model will stop giving valid results for large enough values of t.

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