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.

Step-by-step explanation:

Since we have given that

Initial foxes = 170000

Every 7 months, the population loses $\dfrac{1}{11}$

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 $\dfrac{1}{11}\times \dfrac{1}{7}=\dfrac{1}{77}$

So, the percentage would be

$\dfrac{1}{77}\times 100=1.298\%$

Hence, the fox population decrease 1.298% every month.