Math word problem

Question

The rabbit population in a forest area grows at the rate of 7% monthly. If there are 250 rabbits in April, find how many rabbits should be expected by next April. Use the function f(x)=250(2.7)^0.07t

(Round to the nearest whole number)

 

Answer 1

t = 12, for the twelve months of the year

 

f(12) = 250 (2.7)^0.07(12)

f(12) = 250 (2.7)^0.84

log f(12) = log 250 + log 2.7^0.84

log f(12) = 2.3979 + 0.84 log 2.7

log f(12) = 2.3979 + 0.84 (0.4313)

log f(12) ≈ 2.3979 + 0.3923

log f(12) ≈ 2.760

f(12) ≈ 576

 

After one year there are 576 rabbits.