A park ranger is carefully monitoring the deer population at the national park h

Question

A park ranger is carefully monitoring the deer population at the national park he works at. He knows that once the deer reach a population of 5600, their foraging habits are harmful to the local vegetation in the park. Therefore whenever the deer population is within 25 deer of 5600, he gives out hunting licenses to bring the population down to about 2,000. Assume the time variable is in weeks. If the deer population was just brought back down to 2000, how many weeks will it be before the ranger will need to hand out hunting lisences again?

Explanation / Answer

The time required to reach the deer population 5600 is 25 weeks.

The time required to reach the deer population 1 is (25/5600) weeks.

Tf the deer population was just brought back down to 2000 then the required population of the deer to obtain the hunting lisences is 3600.

The time required to reach the deer population 3600 is (25*3600/5600) weeks.

which is approaximately equal to 16 weeks.

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