A city doubles its size every 48 years. If the population is currently 400,000, what will the population be in 144 years?
Calculate the doubling time periods:
Doubling Time Periods = Total Time / Doubling Time
Doubling Time Periods = 144/48
Doubling Time Periods = 3
Calculate the city population where t is the doubling time periods:
City Population = Initital Population * 2^t
Plugging in our numbers, we get:
City Population = 400,000 * 2^3
City Population = 400,000 * 8
City Population = 3,200,000
Calculate the doubling time periods:
Doubling Time Periods = Total Time / Doubling Time
Doubling Time Periods = 144/48
Doubling Time Periods = 3
Calculate the city population where t is the doubling time periods:
City Population = Initital Population * 2^t
Plugging in our numbers, we get:
City Population = 400,000 * 2^3
City Population = 400,000 * 8
City Population = 3,200,000