Modeling Exponential Functions

Name:

The growth of a certain organism can be modeled by

, where

is the total number of cells after t hours. Which function is approximately equivalent to

a)		c)
b)		d)

Miriam and Jessica are growing bacteria in a laboratory. Miriam uses the growth function

while Jessica uses the function

, where n represents the initial number of bacteria and t is the time, in hours. If Miriam starts with 16 bacteria, how many bacteria should Jessica start with to achieve the same growth over time?

a)	32	c)	8
b)	16	d)	4