forms of expressions and equations

Question

The population of bees in a colony is 50,000. It increases every day at a rate of 0.6%. The function f represents the population after t months. If a month has 30 days, which of the following functions is given in a form that clearly reveals the approximate monthly growth rate?

Answer 1

Hi remember that this composite increment its very similar to the composite interest rate formula.

In this problem you will use the following:

Population= 50,000 (100%+0.6%)^days

P= 50,000 (1.006)^(30days)

P= 50,000 (1.1966) =>> or 19.66% increase per month

so,

P=50,000 (1.1966)^t =>> where t represents the time in "months"