Find the Value $\mathrm { P }$ Of Quail in a Region Is Related to the Percent

question 190

Multiple Choice

Find the value. Give an approximation to four decimal places.
-Quail are game birds that fare poorly when their habitat is encroached upon. Wildlife biologists hav discovered that the population $\mathrm { P }$ of quail in a region is related to the percent of the region that has $\mathrm { b } _ { \mathrm { t } }$ paved with roads and parking lots, according to the formula
$$P = k \ln \left( \frac { 32 } { x + 4 } \right) , 0 \leq x \leq 28 \text {, }$$
where $x$ is the percent of the region that has been paved. For a particular rural region, $P = 1400$ wher $x = 0$ . Predict what the quail population will be in this region when it becomes $6 \%$ paved. Round your answer to the nearest whole number.

• A) 836 quail
• B) 0 quail
• C) 783 quail
• D) 794 quail

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