Respuesta :
Answer:
Option B is correct
x = 3, In the 3rd hour there will be 64 bacteria
Step-by-step explanation:
As per the statement:
The number of bacteria in an experiment can be represented by:
[tex]f(x) = 4^x[/tex] .....[1]
where, x represents the number of hours.
We have to find x when f(x) = 64
Substitute f(x) = 64 in [1] we have;
[tex]64 = 4^x[/tex]
We can write 64 as:
[tex]64 =4 \cdot 4 \cdot 4=4^3[/tex]
then;
[tex]4^3 = 4^x[/tex]
On comparing both sides we have;
[tex]3 = x[/tex]
or
x = 3 hours
Therefore, the value of x = 3 hours , In the 3rd hour there will be 64 bacteria
