Question

There is a population of 5 bacteria in a colony. If the number of bacteria doubles every minute, which function can be used to determine what the population will be x minutes from now?

Answer 1

`f(x) = 5 *2^x`

Explanation:

Given

`a=5` -- initial

`r = 2` --- rate (i.e. double)

Required

The function to represent the scenario

The above scenario represents an exponential function where

`f(x) = ar^x`

So, the function is:

`f(x) = 5 *2^x`