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Mathematics 15 Online
OpenStudy (mtalhahassan2):

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?

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

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

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

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

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

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

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