Solve the Problem $$\mathrm { P } = \mathrm { k } \ln \left( \frac { 30 } { \mathrm { x } + 5 } \right) , 0 \leq \mathrm { x } \leq 25$$

question 225

Multiple Choice

Solve the problem.
-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 $$\mathrm { P } = \mathrm { k } \ln \left( \frac { 30 } { \mathrm { x } + 5 } \right) , 0 \leq \mathrm { x } \leq 25$$ where x is the percent of the region that has been paved. For a particular rural region, P = 1600
When x = 0. Predict what the quail population will be in this region when it becomes 5% paved.
Round your answer to the nearest whole number.

• A) 0 quail
• B) 1034 quail
• C) 981 quail
• D) 992 quail

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