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Mathematics 16 Online
OpenStudy (thesecret20111):

Given the table (attached) create an exponential function that models the world population during the interval 1980-2015

OpenStudy (thesecret20111):

OpenStudy (thesecret20111):

This is supposed to be done without the forming of a regression line.

OpenStudy (tylerd):

you want this in the form f(x)=ab^x?

OpenStudy (thesecret20111):

Yes I believe so.

OpenStudy (tylerd):

i wonder if we can do the x in terms of years since 1980 with 0 corresponding with 1980

OpenStudy (thesecret20111):

That sounds good to me. I have tried similar a few times to no success, but am not sure if I just did it wrong.

OpenStudy (tylerd):

then a would = 2,707,475,887

OpenStudy (thesecret20111):

Ohh, I figured y would = 2,707,475,887

OpenStudy (tylerd):

it would

OpenStudy (tylerd):

in x = 0

OpenStudy (thesecret20111):

Ok yep

OpenStudy (tylerd):

\[f(0)=2707475887(b)^0\] \[f(5)=2707475887(b)^5=3086150193\]

OpenStudy (thesecret20111):

Ok that makes sense so far

OpenStudy (tylerd):

\[b^5=1.1398624851354031652729544697142\]

OpenStudy (thesecret20111):

So you just divided there?

OpenStudy (tylerd):

ya

OpenStudy (tylerd):

lol i hate these numbers

OpenStudy (tylerd):

so b=1.02652727255223186275654039342229

OpenStudy (tylerd):

i dunno if this is gonna work

OpenStudy (tylerd):

lets see

OpenStudy (thesecret20111):

Ok

OpenStudy (tylerd):

ok not working

OpenStudy (thesecret20111):

:(

OpenStudy (tylerd):

maybe missing a step here

OpenStudy (thesecret20111):

Ok

OpenStudy (tylerd):

this may involve e

OpenStudy (thesecret20111):

Noooooo :P

OpenStudy (thesecret20111):

Ok e being that magic 2.7 number?

OpenStudy (tylerd):

dunno and im to tired for this sorry for wasting ure time.

OpenStudy (thesecret20111):

Ok thats fine :)

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