Question

Ella’s Instagram has 62,000 followers And is increasing at a rate of 15% each month Use an exponential function to find the number Followers After six months Round to the nearest whole number

Answer 1

Ella's Instagram will have 143,410 followers in six months.

Explanation:

Ella's instagram followers after t months can be modeled by the following function:

`F(t) = F(0)(1+r)^(t)`

In which F(0) is the initial number of followers and r is the monthly increase rate, as a decimal.

Increasing at a rate of 15% each month

This means that
`r = 0.15`

Ella’s Instagram has 62,000 followers

This means that
`F(0) = 62000`. So:

`F(t) = F(0)(1+r)^(t)`

`F(t) = 62000(1+0.15)^(t)`

`F(t) = 62000(1.15)^(t)`

After six months:

This is F(6).

`F(6) = 62000(1.15)^(6) = 143409.767`

Rounding to the nearest whole number.

Ella's Instagram will have 143,410 followers in six months.