Answer
Model:
$P=46t+500,$
(P= population in 1000's,
t= time in years after 1950)
graph:
Work Step by Step
In exercise 37, the rate r was r=0.092.
From $FV=PV(1+rt),$
$FV=(PVr)t+PV$
is a linear function of t (t = years after 1950)
we will build a graph y=mx+b,
where the slope m is $PVr=500\cdot 0.092=46,$
the y-intercept is $b=PV=500$,
With the "wrench" button we set an appropriate viewing window and label the axes.