Answer
Does not make sense.
Work Step by Step
If a linear model is appropriate, the slopes on various intervals should be close, if not equal.
Slope between 1945 and 1974: $ m_{1}=\displaystyle \frac{19500-8200}{1974-1945}=\frac{11300}{29}\approx 390$
Slope between 1974 and 1993: $ m_{2}=\displaystyle \frac{40500-19500}{1993-1974}=\frac{21000}{19}\approx 1105$
Slope between 1993 and 2013: $ m_{3}=\displaystyle \frac{73950-40500}{2013-1993}=\frac{33450}{20}\approx 1670$
So, as time passes, the slope rises.
This suggests an exponential model rather than a linear one.
Does not make sense.