The next three problems explore some techniques of data analysis.
According to the US Bureau of the Census, the world population in the year 1950 was $A=2555360972$, and in 2000 it was $B=6079006982.$ We'll use $A$ and $B$ so we don't have to keep writing those large and idiosyncratic numbers. We usually use $y$ and $x$ in the equation of a line, but in this and the following problem let's use $N$ and $t$ instead. $t$ stands for time and $N$ for the size of the population.
If $$N(t) = mt + b$$ such that $N(1950) = A$ and $N(2000) = B$, then $m=$ and and $b=$.
Suppose you want to estimate the population in 1975. To that end you compute $N(1975)$ = . (Round your answers to the nearest integer. The process illustrated in this problem is called linear interpolation.)