Answer
(a) The slope represents how much the temperature changes when the year increases by $1$. The T-intercept is the temperature in the year $1900$.
(b) $T(200)=12.5$
Work Step by Step
(a) The slope represents the increase in temperature each year, in other words how much the temperature changes when the year increases by $1$.
The T-intercept is the temperature in the year $1900$, when the years since $1900$ is $0$.
(b) $t=200$ because $2100-1900=200$.
$T(200)=0.02\times200+8.50=12.5$
