The diameter of a bacteria colony that doubles every hour is represented by the graph below. what is the diameter of the bacteria after 9 hours? graph of a curve passing through the points zero comma 1, one comma two, two comma four, and three comma eight courtesy of texas instruments 128 256 512 1,024

For this case we have a function of the form:

Where,

A: initial population of bacteria

b: growth rate

x: number of hours

Since the diameter is double every hour, then:

We must now look for the value of A.

To do this, we evaluate an ordered pair of the graph:

For (1, 2):

Clearing A we have:

Then, the function is given by:

For after 9 hours we have:

the diameter of the bacteria after 9 hours is:

each side has a different length.  

step-by-step explanation:

congruent segments

step-by-step explanation: