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

f(x)=350(1.05)^x

Answer 2

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

so, initial population =350

`P_0=350`

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

so,
`r=0.05`

Let's assume

time in years =x

now, we can use formula

`P(x)=P_0(1+r)^x`

we can plug values

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

`P(x)=350(1.05)^x`..............Answer