Alab is growing bacteria in a culture dish. the amount of bacteria in the dish doubles every 3 hours. initially, there are 500 bacteria in the dish. how many are in the dish after 9 hours a. 4,500 b. 4,000 c. 1,500 d. 13,500

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 :-

,  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 :_