In 1990 the population of the US was around 250 million and

In 1990 the population of the U.S. was around 250 million and was expected to grow according to the function P (x) = 250,000,000e^009x, where x is the number of years after 1990. What will the expected U.S. population be in 2012, according to this model?

Solution

given P(x)=250000000e^0.009x

in year 1990, x =0

in year 2012, x=2012-1990=22

expected population in 2012=250000000e^0.009*22

expected population in 2012=250000000e^0.198

expected population in 2012=250000000*1.2189622314738568244508739872742

expected population in 2012=304740557.868

expected population in 2012=304.7 million