Quail Are Game Birds That Fare Poorly When Their Habitat $P$

Quail are game birds that fare poorly when their habitat is encroached upon. Wildlife biologists have discovered that the population $P$ of quail in a region is related to the percent of the region that has been paved with roads and parking lots, according to the formula
$$P=k \ln \left(\frac{30}{x+3}\right) , 0 \leq x \leq 27$$
Where $\mathrm{x}$ is the percent of the region that has been paved. For a particular rural region, $\mathrm{P}=1400$ when $x=0$ . Predict what the quail population will be in this region when it becomes $9 \%$ paved. Round your answer to the nearest whole number.

A) 568 quail
B) 557 quail
C) 0 quail
D) 610 quail