Question

A certain type of bacteria doubles in population every hour. Their growth can be modeled by an exponential equation. Initially, there are 15 bacteria colonies present in the sample.

A. Find an equation to model the bacteria growth.
B. How many colonies are present after 3 and a half hours?
C. When will there be 584 colonies present?

Answer 1

A: y=2x 15 (or whatever variables you choose to represent the colony growth and time)

B: y=2(3.5) 15;
22 colonies

C: substitute 584 with y into the original equation, so:
584=2x 15
569=2x
284.5=x; therefore, after 284.5 hours Hope this helps! :D