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Suppose the population of a country in 1985 was 145 million. In 1995 it was 190 million. Use the formula P = Ae kt to setup an expression to estimate the population of the country in 2005.
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\[145=Ae ^{1985k} \] \[190=Ae ^{1995k}\] Those are the two equations for 1985 and 1995. If you want 2005, plug in for A and t. A=original amount t=time
You are to solve for k from the 1985-95 data. After k is solved, then you can determine the population in 2005.
\[190 = 145e ^{10k}\] This is how the formula looks, now solve for k. With k value known, you then can plug in you values and solve for the 2005 population.
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