Answer
a) Numerical Estimation:
for $x=5$: $f(5)\approx77.797$
for $x=10$: $f(10)\approx67.010$
for $x=20$: $f(20)\approx61.088$
for $x=40$: $f(40)\approx60.026$
for $x=80$: $f(80)\approx60.000$
for $x=160$: $f(160)\approx60.000$
$\lim\limits_{x \to \infty}f(x)=60.000$
b) $y=60.00$
c) This mathematical model shows that the number of farms with milk cows in the United States will decrease to 60 (thousand).
Work Step by Step
a) Direct calculations
b) Observation of the graph
c) Direct answer