Question

A bird enclosure at a zoo was initially housed with 350 birds. The total population of birds in the enclosure is expected to increase every year by 5%.

Which function accurately describes the population of the birds in the enclosure, f(x), after x years?

Answer 1

ANSWER

Find out which function accurately describes the population of the birds in the enclosure, f(x), after x years.

To proof

As given

A bird enclosure at a zoo was initially housed with 350 birds.

The total population of birds in the enclosure is expected to increase every year by 5%.

Now the increase in the population of the bird is shown by

where a = initial value

r =rate percent

t = time

Explanation:

Answer 2

Find out which function accurately describes the population of the birds in the enclosure, f(x), after x years.

To proof

As given

A bird enclosure at a zoo was initially housed with 350 birds.

The total population of birds in the enclosure is expected to increase every year by 5%.

Now the increase in the population of the bird is shown by

`f(x) = a ( 1 + (r)/(100))^(t)`

where a = initial value

r =rate percent

t = time

put the value in the above equation

initial population = 350 bird

rate = 5 %

time = x

than

`f (x) = 350 ( 1 + 0.05)^(x)`

this equation represented the population of the birds in the enclosure after x years .

Hence proved