If \(P\) represents population, and \(x\) represents the number of years after 2007, then we need to set \(P\) to \(30,000\) and solve for \(x\), then add that to 2007.
\(30000 = 24455(1.03)x \Longleftrightarrow 30000 = 25188.65x\)
Now divide each side by \(25188.65\) to solve for \(x\).
\(x = 1.19\)
\(x\) represents the number of years since 2007, so to get a year value, we need to add \(1.19\) to 2007.
That gives you \(2008.119\). We don't represent years with decimals, so the answer would be 2008.
