It is predicted that the population of a city will increase by 4% every year for the next many years. It is presently 60000 people.
(a) Complete the pattern below giving the predicted population as the years go by:
i) 1 year from now the population is predicted to be
4
60000 + 60000 x 60000 (1+ 60000 (1 +0.04) = 60000(1.04).
100
100
ii) 2 years from now the population is predicted to be
4
4
60000(1.04)+60000(1.04) = 60000(1.04) (1+ 60000(1.04) (1.04) = 60000(1.04).
100
4
-
(1+100)
iii) 3 years from now the population is predicted to be
60000(1.04)2 +
iv) I years from now the population is predicted to be
(b) How many years will it take the population to double? Round off your answer to the nearest
whole number. Write down the work leading to your answer.