Question

An ecologist studies the fox population of the arctic circle, and observes that the population loses 1/11 of its size every 7 months. There were 170,000 foxes in the arctic circle when the study started. By what percent does the fox population decrease every month?

Answer 1

Answer: The fox population decrease 1.298% every month.

Explanation:

Since we have given that

Initial foxes = 170000

Every 7 months, the population loses
`(1)/(11)`

So, we need to find the rate of change in population every month.

So, we will use "Unitary method":

So, In every month, the population loses
`(1)/(11)* (1)/(7)=(1)/(77)`

So, the percentage would be

`(1)/(77)* 100=1.298\%`

Hence, the fox population decrease 1.298% every month.