The population of a Canadian city is modelled by P(x) = 12 t square + 800t + 40000, where t is the time in years. When t=0, the year is 2007.
a) According to the model,what will the population be in 2020?
b) In what year is the population predicted to be 300000?
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OpenStudy (gorv):
t=2020-2007
t=???
OpenStudy (gorv):
find the t and plug in the value in function
OpenStudy (mtalhahassan2):
13
OpenStudy (gorv):
yes
OpenStudy (mtalhahassan2):
so t be 13
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OpenStudy (gorv):
yes t=13
OpenStudy (mtalhahassan2):
what about part b
OpenStudy (gorv):
p(t)=300000= expressio in the Q u need to solve it
OpenStudy (gorv):
300000=12 t square + 800t + 40000
OpenStudy (mtalhahassan2):
oh ok
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OpenStudy (mtalhahassan2):
so for this we have to used a quadratic fromula
OpenStudy (mtalhahassan2):
or maybe factoring if possible
OpenStudy (gorv):
yeah we need to use that
OpenStudy (mtalhahassan2):
But I have a question related to part a like why we subtract 2020-2007?
OpenStudy (gorv):
we need to find the time
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OpenStudy (gorv):
at 2007b t=0
what will be the value of t in 2020
OpenStudy (mtalhahassan2):
but if we put 2020 instead of t
OpenStudy (gorv):
how ??
OpenStudy (gorv):
in 2007 t=0 it is given in Q
OpenStudy (gorv):
so in 2008 t=1
in 2009 t=2
and so on
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OpenStudy (mtalhahassan2):
ok
OpenStudy (mtalhahassan2):
hey
OpenStudy (gorv):
yeah ???
OpenStudy (mtalhahassan2):
I need help with part b
OpenStudy (gorv):
what u got in part b
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OpenStudy (mtalhahassan2):
Like I used the quadratic formula and I get the two answers
The first one which I got is 117.58 and the second is -211