Answer:
Ella's Instagram will have 143,410 followers in six months.
Step-by-step explanation:
Ella's instagram followers after t months can be modeled by the following function:
[tex]F(t) = F(0)(1+r)^{t}[/tex]
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 [tex]r = 0.15[/tex]
Ella’s Instagram has 62,000 followers
This means that [tex]F(0) = 62000[/tex]. So:
[tex]F(t) = F(0)(1+r)^{t}[/tex]
[tex]F(t) = 62000(1+0.15)^{t}[/tex]
[tex]F(t) = 62000(1.15)^{t}[/tex]
After six months:
This is F(6).
[tex]F(6) = 62000(1.15)^{6} = 143409.767[/tex]
Rounding to the nearest whole number.
Ella's Instagram will have 143,410 followers in six months.
