The population of New York City increased from 7,322,564 in 1990 to 8,008,278 in 2000. The annual rate of population increase for the period was about 0.9%.
1. Write an equation for the population t years after 1990.
2. Use the equation to predict the population of New York City in 2010.
Please help me with this!!!!!

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- schrodinger

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- anonymous

okay so population after t years = population in 1990+ increase in population
do you agree with this?

- anonymous

I wish I knew... .

- anonymous

okay tell me this. suppose your dad gave you a hundred stamps to start you off. and after that you started collecting stamps. so after 5 years,
number of stamps you have = initial number of stamps(which your dad gave you) + whatever you collected in 5 years
do you agree with that?

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- anonymous

sure

- anonymous

okay great!
so population of new york after t years = population of new york in 1990+growth in population
agreed?

- anonymous

ok

- anonymous

okay so the annual rate of increase of population is 0.9%.
so if population was 1000 in 1990, in 1991, the population would be 1000+0.009(1000)

- anonymous

so it would be 1009 in 1991. in 1992, it would be 0.9% of the population of 1991, so population in 1992 = population in 1991+ 0.9% of population in 1991
= 1009+0.009(1009)

- anonymous

and so on.

- anonymous

so this is like compound interest, compounded yearly at rate 0.9%

- anonymous

I hope you know what to do after this.

- anonymous

not a damn clue i was in the hospital fo almost 2 weeks followed bty another 4 weeks of rehab so i missed all of this in school

- anonymous

okay. population after t years = initial population(1+0.009)^t

- anonymous

use that formula and you will get your answer,

- anonymous

thanks

- anonymous

np

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