Question

The population of bald eagles in Forest National Park is declining at a rate of 14% per year. The following expression represents the population of bald eagles after x years. 206(0.86)^x Which of the following expressions reveals the approximate rate at which the population of bald eagles is declining per month?

a.(.16)^x/12

b.(.99)^x/12

c.(.99)^12x

Answer 1

b. ( .99 ) ^ x/12

Explanation:

Answer 2

We know that the population is declining at a rate of 14% per year.

The expression is:

N ( x ) = 206 * ( 0.86 ) ^ x

where x stays for years.

If we want to find the rate at which the population is declining per month we have to find:

`\sqrt[12]{0.86} = 0.9875`

And 0.9875 ≈ 0.99

There are 12 months in a year so the exponent is: x/12

Answer:

b. ( .99 ) ^ x/12