Question

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

Answer 1

y=512

Explanation:

Answer 2

For this case we have a function of the form:

`image`

Where,

A: initial population of bacteria

b: growth rate

x: number of hours

Since the diameter is double every hour, then:

`image`

We must now look for the value of A.

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

For (1, 2):

`image`

Clearing A we have:

`image`

`image`

Then, the function is given by:

`image`

For after 9 hours we have:

`image`

Answer:

the diameter of the bacteria after 9 hours is:

`y = 512`