Answer
$1.59$
If this trend was to continue, in the long run, the annual spending on police would be $1.59$ times the annual spending on courts.
Work Step by Step
$\displaystyle \lim_{t\rightarrow\infty}\frac{P(t)}{C(t)}=...$
Using theorem 10.2, since both are polynomials, we can calculate the limit of $f(t)$ as $ t\rightarrow\pm\infty$ by ignoring all powers of $t$ except the highest power in both the numerator and denominator.
Thus we have:
$=\displaystyle \lim_{t\rightarrow\infty}\frac{1.745t}{1.097t}$
$=\displaystyle \lim_{t\rightarrow\infty}\frac{1.745}{1.097}=\frac{1.745}{1.097}\approx 1.59$
If this trend was to continue, in the long run, the annual spending on police would be $1.59$ times the annual spending on courts.
