The population (in millions) of people in India is given by the function f(x)=574(1.026)^x where x is the number of years since 1974. Use this function . A. What is the predicted population of India in the year 2020?
B. when (what year) is the population if India predicted to reach 3billion?

Question

The population (in millions) of people in India is given by the function f(x)=574(1.026)^x where x is the number of years since 1974. Use this function . A. What is the predicted population of India in the year 2020?
B. when (what year) is the population if India predicted to reach 3billion?

anonymous · Answer

For A, you're going to want to figure out how many years it's been from 1974 to 2020 to get x

rachie19 · Answer

yea i found A i need help with B

anonymous · Answer

No. of years x=2020-1974=46

anonymous · Answer

for b set f(x)=3 billion, but make sure to put it in units of how many millions it is.

anonymous · Answer

f(x)=3 billion ,find x

anonymous · Answer

^^ doesn't it have to be in terms of millions though

anonymous · Answer

so f(x)=3000

rachie19 · Answer

yeah it does. i think ik having trouble or making mistakes  with the basic algebra . cause im stuck

anonymous · Answer

ok so tell me where you are now

rachie19 · Answer

574(1.026)=3billion im not sure if im suppose to put in acual 3 biliion or what exaxtly to plug in

anonymous · Answer

since it is in terms of millions, you first need to divide 3 billion by 1 million.

rachie19 · Answer

ok
so how am i going to solve for x use those same numbers 574(1.026)= 3000

rachie19 · Answer

*^x

anonymous · Answer

you're going to first have to divide 3000/574

anonymous · Answer

and then exponentiate by doing the log of both sides

rachie19 · Answer

take the natural log  of both sides right?

anonymous · Answer

yes!

rachie19 · Answer

ok thank you soooo much. i have the worst flu thanks for your help =)

anonymous · Answer

no problem!