Question

A population numbers 15,500 and grows at 3.75% per year. Write an exponential model for the growth of this population.

Answer 1

Answer:
`f(x)=15500(1.0375)^x`

Explanation:

The exponential model for growth is given by :-

`f(x)=A(1+r)^x`, where A = initial value , r = growth rate (in decimal), x = time (in years).

Given: A= 15,500 r= 3.75% = 0.0375

The exponential model for the growth of this population will be :

`f(x)=15500(1+0.0375)^x\\\\\Rightarrow\ f(x)=15500(1.0375)^x`

hence, the required model:
`f(x)=15500(1.0375)^x`