Write an exponential function to model the following situation.
A population of 110,000 grows 4% per year for 15 years.
how much will the population be after 15 years?

Respuesta :

Answer:

For 15 years - [tex]110,000(1.04)^{15}[/tex]

After 15 years - [tex]110,000(1.04)^{x+15}[/tex]

Step-by-step explanation:

We have that,

Initial population is 110,000 which grows by the rate 4% i.e. 0.04 for 15 years.

Since, the exponential growth is given by [tex]P(1+r)^{x}[/tex],

where P is the initial population, r is the rate of interest and x is the number of years.

Thus, the required population is [tex]110,000(1+0.04)^{15}[/tex] i.e.  [tex]110,000(1.04)^{15}[/tex].

Moreover, after 15 years i.e. x+15 years, the population will be [tex]110,000(1.04)^{x+15}[/tex].

Thus, the population after 15 years is [tex]110,000(1.04)^{x+15}[/tex].