SOLUTION: In 2000, the population of Littletown was 16 thousand. Use the given doubling time to predict the population in 2060. Assume a doubling time of 30 years.

Question 1194035: In 2000, the population of Littletown was 16 thousand. Use the given doubling time to predict the population in 2060. Assume a doubling time of 30 years.
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!

x = number of years since 2000
y = population, in thousands, at year 2000+x
D = doubling time = 30 years
P = initial population in thousands = 16

y = P*(2)^(x/D)
y = 16*(2)^(x/30)
is the population growth equation

Notice if we plugged in x = 30 we get
y = 16*(2)^(x/30)
y = 16*(2)^(30/30)
y = 16*(2)^(1)
y = 16*(2)
y = 32
Showing the population is now 32,000 in the year 2030

Now let's plug in x = 60
y = 16*(2)^(x/30)
y = 16*(2)^(60/30)
y = 16*(2)^(2)
y = 16*(4)
y = 64
The population is now 64,000 in the year 2060

In other words, the population has doubled twice (aka quadrupled).
The first time for the timespan of 2000 to 2030
The second time for the timespan of 2030 to 2060
This is of course the predicted population and not what it is 100% guaranteed to be.

Answer: 64,000

RELATED QUESTIONS
Use the average growth rate between 1850 and 1950, which was about 0.7%, to find... (answered by Theo)

The population P of a city if given by P=2500e^(kt) where t is time of the years ,... (answered by tommyt3rd)

in the year 2000 the population of the world was 6.1 billion. the doubling time is 20... (answered by ikleyn)

In the year 2000 the population of the world was 6,1 billion. The doubling time of the... (answered by ikleyn)

The population of a city is given by P=5000e^kt where t is time in years, with t=0... (answered by stanbon)

The population P of a city is given by P = 10000 e^kt t represents the year, with t -... (answered by ankor@dixie-net.com)

The population of a city is given by P=25000e^kt where t is the time in years with t=0... (answered by josgarithmetic)

in the year 2000 the population of yhe world was 6.1 billion. The doubling time of the... (answered by josmiceli)

The doubling period of bacterial population in 20 minutes. At time t = 120 minutes, the... (answered by ikleyn,rothauserc)