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: $f(x)=15500(1.0375)^x$

Step-by-step 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: $f(x)=15500(1.0375)^x$