Quail Are Game Birds That Fare Poorly When Their Habitat $$P = k \ln \left( \frac { 30 } { x + 4 } \right) , 0 \leq x \leq 26$$

question 179

Multiple Choice

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 $$P = k \ln \left( \frac { 30 } { x + 4 } \right) , 0 \leq x \leq 26$$ where x is the percent of the region that has been paved. For a particular rural region, $P = 1600 \text { when } x = 0$ Predict
What the quail population will be in this region when it becomes 6% paved. Round your answer to the nearest
Whole number.

• A) 883 quail
• B) 925 quail
• C) 0 quail
• D) 872 quail

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