Hi, the formula below represents bird population of a forest X years after it was studied ...I need to find out original population of birds....I hope I described it correct f(x…

Question

hi, the formula below represents bird population of a forest X years after it was studied ...I need to find out original population of birds....I hope I described it correct
`f(x) = 32(1.5 {)}^(x)`

Answer 1

The function given is

`f(x)=32(1.5)^x`

In order to find the original population, we will substitute x = 0

Therefore,

`\begin{gathered} f(0)=32(1.5)^0=32(1)=32 \\ \therefore f(0)=32 \end{gathered}`

Hence, the original population of the bird is 32.