Question

Write an exponential function to model the following situation A population of 120,000 grows 5% per year for 16 years . How much will the population be after 16 years? Write an exponential function in terms of x.

Answer 1

`f(x)=120,000(1.05)^(x+16)`

Explanation:

We are given,

The initial number of population = 120,000

Rate of growth = 5% = 0.05

Number of years = 16.

Thus, we get that the growth in population for 16 years is given by,

`f(x)=120,000(1+0.05)^(16)`

i.e.
`f(x)=120,000(1.05)^(16)`

This gives us that the population after 16 years will be given by,

i.e.
`f(x)=120,000(1.05)^(x+16)`.