The population of New Hampshire was 1 million in 1990. It doubles every 25 years. Estimate the population in 1996.
pop = 1(2)^(6/25) million ,
= 1.18 million
Thank you so much Reiny!
To estimate the population in 1996, we need to know how many 25-year intervals have passed since 1990.
Let's calculate the number of 25-year intervals between 1990 and 1996:
1996 - 1990 = 6 years
Since each interval is 25 years, we divide the number of years by the length of each interval:
6 years / 25 years = 0.24 intervals
Since the population doubles every 25 years, each interval contributes to doubling the population. So, the population in 1996 is estimated to be the initial population (1 million) multiplied by the doubling factor for each interval:
Population in 1996 = 1 million * (2^0.24)
To calculate this using a calculator or a computer:
1. Enter 2, press the exponent button (^) or type "^" and then enter 0.24.
2. Calculate 2^0.24.
3. Multiply the result by 1 million to estimate the population in 1996.
Please note that this is just an estimate. The actual population growth may vary due to various factors, such as migration, birth rates, and mortality rates.