The sales at a particular bookstore grew from $2006 million in 2000 to $3803 million in 2005. Find an exponential function to model the sales as a function of years since 2000. Give your answer using the form B = Boat.
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OpenStudy (anonymous):
\[B=B_oa^t\]
OpenStudy (anonymous):
yea use the formula
OpenStudy (anonymous):
\[B_o=2006\]
OpenStudy (anonymous):
but how do i find a?
OpenStudy (helder_edwin):
t=0 corresponds to 2000 then t=? for 2005
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OpenStudy (anonymous):
5
OpenStudy (helder_edwin):
yes then u have
\[ \large 3803=B_0a^5=2006\cdot a^5 \]
OpenStudy (anonymous):
3806/2006=a^5
OpenStudy (anonymous):
how do i find a after this?
OpenStudy (anonymous):
log?
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OpenStudy (helder_edwin):
yes
OpenStudy (anonymous):
idk how
OpenStudy (anonymous):
\[\log(3806/2006)=\log(a)*5\]
OpenStudy (anonymous):
can I cancel the logs?
OpenStudy (helder_edwin):
no. u just put them. divide by 5
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OpenStudy (anonymous):
how?
OpenStudy (anonymous):
\[(\log(3806/2006))/(\log(a))=5\]
OpenStudy (helder_edwin):
no
OpenStudy (anonymous):
I dont know what to do
OpenStudy (helder_edwin):
\[ \large \log(3806/2006)=5\log a \]
\[ \large \frac{\log(3806/2006)}{5}=\log a \]
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OpenStudy (helder_edwin):
then
\[ \large \log a=\log(3806/2006)^{1/5} \]
OpenStudy (helder_edwin):
got it??
OpenStudy (anonymous):
ummm i think so
OpenStudy (anonymous):
but whats a?
OpenStudy (anonymous):
i need to find a
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OpenStudy (helder_edwin):
sorry. now u can cancel the logs
OpenStudy (helder_edwin):
\[ \large a=(3806/2006)^{1/5} \]
OpenStudy (helder_edwin):
got it??
(Megan Fox)
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
thats not the right answer :/
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OpenStudy (anonymous):
i need to find the right a
OpenStudy (anonymous):
"a"
OpenStudy (anonymous):
what do you get for a? i got 1.136
OpenStudy (anonymous):
that answer for "a" is wrong and i dont know why
OpenStudy (anonymous):
i need an exact answer
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