The number of bacteria in a culture is increasing according

The number of bacteria in a culture is increasing according to the law of exponential growth. After 2 hours, there are 100 bacteria, and after 5 hours, there are 800 bacteria. How nany bacteria will there be after 6 hours? Complete the table for the radioactive isotope. (Round your answer to two decimal places.)

Solution

7 )

Exponential growth

finding r :

P =P₀ e^rt

800 = 100 e^r3

8 = e^r3

3 r = ln 8

r =( ln 8 ) / 3

r = 0.693

Hence,

Number of bacteria after 6 hours is

P = 100 e^{(0.69315 x 4 )}

= 1600

Therefore,

Number of bacteria after 6 hours = 1600