Answer
(a) $200.02$, see explanations.
(b) $16329$
Work Step by Step
(a) Given $y=200.02x+2727.7$, we can identify the slope as $m=200.02$ which represents the average rate of change of radio stations during 1950-2014. The slope is positive because the number of radio stations decreased with time.
(b) For year 2018, we have $x=2018-1950=68$, thus $y=200.02(68)+2727.7\approx16329$