Question

The diameter of bacteria colony that doubles every hour is represented by the graph below what is the diameter of the bacteria after 9 hours

Answer 1

Answer:

y = 52

Step-by-step explanation:

For this case we have a function of the form:

y = A * (b)^x

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.

b = 2

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

For (1, 2):

2 = A * (2)^1

Clearing A we have:

2 = A * 2

A = 2/2

A = 1

Then, the function is given by:

y = 1 * (2)^x

For after 9 hours we have:

y = 1 * (2)^9

y = 512

I hope this helped. I am sorry if you get this wrong.