Problema Solution
Round to 2 decimal places.
A rabbit population was introduced on an island in 1950. The initial population was 50 rabbits. By 1954 the rabbit population had grown to 452.
What is the N(t) formula for this population growth?
What is the predicted population for 1958?
In what year will the population reach 10,000 rabbits?
Answer provided by our tutors
N(t) = 5(e^(at))
N(4) = 452 = 50e^(4a) ==> a = (1/4)[ln(452) - ln(5)] ~ .55, Thus N(t) = 50(e^(.55t))
N(8) = 50e^(8*.55) = 4073
T(10,000) = (1/.55)ln(10000/50) = 364 yrs