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Mathematics 17 Online
OpenStudy (anonymous):

Can someone please solve this and explain to me how to do it? Suppose a country's population in 1980 was 210 million. In 1990, it was 225 million. Using the exponential growth formula, P = Ae^kt, estimate the country's population in 2000. If t = 0 in 1980, find the value of A. Round your answer to the nearest million.

OpenStudy (jdoe0001):

hmmm are you familiar with \(\large \bf P = Ae^kt?\)

OpenStudy (jdoe0001):

well... \(\bf \large P = Ae^{kt}\)

OpenStudy (anonymous):

Not familiar at all.

OpenStudy (jdoe0001):

\(\bf \large P = Ae^{kt} \\ \quad \\ p=\textit{quantity}\\ A=\textit{original amount}\\ k=\textit{constant of proportionality}\\ t=\textit{elapsed time}\)

OpenStudy (jdoe0001):

"e" is of course, the Euler's constant

OpenStudy (anonymous):

I'm sorry. I got P = quantity, A = original amount, and t = elapsed time, but k and e make no sense to me..

OpenStudy (jdoe0001):

heheh well... have you covered exponential functions yet?

OpenStudy (anonymous):

No.

OpenStudy (jdoe0001):

well... you may want to cover that first I'd think

OpenStudy (anonymous):

I can't choose the order, unfortunately.

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