SOLUTION: If the population of a Fantasy Island is growing at 2% per year and if its population in the year 2006 was 2,200,000. a. Determine an exponential equation representing its pop

Question 1111815: If the population of a Fantasy Island is growing at 2% per year and if its population in the year 2006 was 2,200,000.

a. Determine an exponential equation representing its population as a function of time.
b. Determine its population in 2020.
c. Determine what was its population in 2004.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
The exponential growth or decay formula is
:
a) y(t) = a * e^(kt), y(t) is value at time t, a is the beginning value, k is the rate of growth(k>0) or decay(k<0), t is time, e is euler's number approximately 2.71828
:
b) t = 2020 - 2006 = 14
population(t=14) = 2200000 * (2.71828)^(0.02 * 14) = 2910885.587 = 2,910,886
:
c) t = 2006 - 2004 = 2
population(t=2) = 2200000 * (2.71828)^(-0.02 * 2) = 2113736.76 = 2,113,737
:

RELATED QUESTIONS
If the population of a town is 32,000 in the year 2013, with a growing rate of 1.2... (answered by CubeyThePenguin)

The population of an island in the year 2014 is 250,000. If the population increases at... (answered by ikleyn)

Suppose a city with population 210,000 has been growing at a rate of 3% per year. If this (answered by ikleyn)

In 1980, the population of a city was 6.8 million. By 1992 the population had grown to... (answered by stanbon)

According to the U.S. Census Bureau the population of the United States has been growing... (answered by stanbon)

The population of a town was 5000 in 1990 and its rate of growth is 0.5% per year. Use... (answered by josmiceli)

The population in a particular country is growing at the rate of 1.7% per year. If... (answered by ikleyn)

City A is growing at a rate of 6.5%/year and starts with a population of 100,000. City B... (answered by Theo)

In 1900, the population of Malthusian was 120,000. Since then, the population has... (answered by ankor@dixie-net.com,ikleyn)