Question

If you don’t brush your teeth regularly, it won’t take long for large colonies of bacteria to grow in your mouth. Suppose a single bacterium lands on your tooth and starts multiplying by a factor of 4 every hour.
a. Write an equation that describes the number of bacteria b in the new colony after n hours.

Answer 1

It would be a piece wise system

If n = 0 then b = 1
If n > 0 then b = 4n

because in the 0th hour, there was that first bacterium

Answer 2

thanks