Answer: B. 4,000
Step-by-step explanation:
Given: The initial amount of bacteria in the dish A= 500
Since, The amount of bacteria in the dish doubles every 3 hours.
The multiplicative rate of change after every 3 hours = 2
Time period = 3 hours
By exponential function, we have the amount of bacteria after time period 'x' is given by :-
\(y=Ab^x\), where A is the initial amount , b is the multiplicative rate of change in time period x.
Number of 3 hours period in 9 hours = 3
Therefore, x=3
Therefore, the amount of bacteria in the dish after 9 hours is given by :_
\(y=500(2)^3=500\times8=4000\)
