Problem
This table lists the the yearly profit $P$ (adjusted for inflation) of a certain restaurant, $x$ years after $1970 . P$ is measured in thousands of dollars. \[ \begin{array}{c|c|c|c|c|} \hline x(y \text { rs after } 1970) & 0 & 5 & 10 & 15 \\ \hline P(1,000 \text { 's of } \$) & 200 & 195 & 190 & 180 \\ \hline \end{array} \] \begin{tabular}{c} 0 \\ \hline 200 \\ \hline \end{tabular} \begin{tabular}{|c|c|} \hline 5 & 10 \\ \hline 195 & 190 \\ \hline \end{tabular} \begin{tabular}{|c|} \hline 15 \\ \hline 180 \\ \hline \end{tabular} \begin{tabular}{c} 20 \\ 175 \\ \hline \end{tabular} $\begin{array}{r}25 \\ \hline 180 \\ \hline\end{array}$ $\begin{array}{r}30 \\ \hline 192 \\ \hline\end{array}$ In what year(s) was the profit $\$ 180000 ?$ (Separate answers with a comma as needed.)
Solution
Step 1 ：The question is asking for the year(s) when the profit was $180,000. From the table, we can see that the profit is measured in thousands of dollars. Therefore, we are looking for the year(s) when the profit was 180 (since 180,000 divided by 1,000 is 180).
Step 2 ：Looking at the table, we can see that the profit was 180 in the 15th and 25th years after 1970. Therefore, the years when the profit was $180,000 are 1970 + 15 = 1985 and 1970 + 25 = 1995.
Step 3 ：Final Answer: The profit was $180,000 in the years \(\boxed{1985, 1995}\).
