Question

the number of bacteria in a culture increases according to the equation A=Pe^rt. The culture starts with 400 bacteria and has 700 bacteria after 3 hours. Find the rate of growth r.

Answer 1

Answer: .187

Explanation:

set the equation up with what is known, so 700 = 400*e^(3r), then solve by simplifying to 7/4 = e^(3r) and then to ln(7/4) = 3r to r = ln(7/4)/3. You get r = .187