The US Ceram Bureau determined that from 1910 to 2010 the US

The US Ceram Bureau determined that from 1910 to 2010 the US population increased by approximately 1.3% each year. The 13th US Census (conducted in 1910) determined that the US population was 91.255 million people. Define a function f that expresses the population, P, of the US in millions of people as a function of the number of years, t since 1910. Assume the population continues to grow at 1.3% per year. Use your graphing calculator to determine in what year

Solution

a) Population = P(t) = 91.255*(1.013)^t

where t = years

b) 500 = 91.255*(1.013)^t

t *ln1.013 = ln 5.47915

t = 131.7 yrs