Mathematics
16 Online
OpenStudy (thesecret20111):
Given the table (attached) create an exponential function that models the world population during the interval 1980-2015
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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
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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
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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?
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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
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OpenStudy (tylerd):
lets see
OpenStudy (thesecret20111):
Ok
OpenStudy (tylerd):
ok not working
OpenStudy (thesecret20111):
:(
OpenStudy (tylerd):
maybe missing a step here
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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.
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OpenStudy (thesecret20111):
Ok thats fine :)