Abacteria culture starts with 120 and after 3 hours the population consists of 200 bacteria. what is the rate of the increase to the nearest percent?

The rate of the increase to the nearest percent is 30 percent

This is a continuous compounded growth:

P = A . eⁿˣ, where A is the original value, P, the yielded value after a growth of 
"x" during a time = n ( n = time = 3 hours : given)

200 = 120(e)³ˣ

200/120 = (e)³ˣ

5/3 = (e)³ˣ

ln(5/3) = ln[(e)³ˣ

0.5108 = 3x.ln(e) (ln(e) = 1)

x = 0.5108/3 = 0.17
 so the HOURLY growth rate = 0.17