The population of a certain city in 1975 was 65,000. In 2000 the census determined that the population was 99,500. Assuming the exponential growth, estimate the population for the city in 2015

Respuesta :

irspow
Exponential growth has the form F=Ir^t, using the two data points give we can find the rate...

99500/65000=Ir^25/Ir^0

199/130=r^25

r=(199/130)^(1/25)  I am not going to approximate...

so

F=65000(199/130)^(1/25)^(2015-1975)

F=65000(199/130)^(1/25)^40

F=65000(199/130)^(1.6)

F=128460 (rounded to nearest whole person)