P=f(t) gives the size of a population that begins with 28,000 members and grows at a continuous annual rate of 1.26%.

Question

Find a formula for the population,

p=f(t)=.......

 

 

I can't seem to figure out how to correctly type the formula for the population.

Answer 1

An annual growth rate of 1.26% means that at the end of each year, the population is 1.0126 times what it was at the start of the year.  If you keep this up for t years, you will get

 

P(t) = 28,000 (1.0126)^t

 

where t is the number of years elapsed since the year the population was 28,000.