Question

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!!!!!

Answer 1

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

Answer 2

I wish I knew... .

Answer 3

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?

Answer 4

sure

Answer 5

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

Answer 6

ok

Answer 7

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)

Answer 8

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)

Answer 9

and so on.

Answer 10

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

Answer 11

I hope you know what to do after this.

Answer 12

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

Answer 13

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

Answer 14

use that formula and you will get your answer,

Answer 15

thanks

Answer 16

np