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.
