Modeling with Linear Functions · Exercise 48

Use the median home values in Indiana and Alabama (adjusted for inflation) shown in the table. Assume that the house values are changing linearly.
\begin{array}{|c|c|c|}\hline \text{Year} & \text{Indiana} & \text{Alabama} \\ \hline \text{1950} & \text{$37,700} & \text{$27,100} \\ \hline \text{2000} & \text{$94,300} & \text{$85,100} \\ \hline\end{array}

If we assume the linear trend existed before 1950 and continues after 2000, the two states’ median house values will be (or were) equal in what year? (The answer might be absurd.)

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Algebra and Trigonometry 2e · §4.2 Modeling with Linear Functions · Exercise 48