The number of bacteria in a certain culture grows at a rate that is proportional to the number presentThe number of bacteria increased from 300 to 800 in 2 hours

Question

The number of bacteria in a certain culture grows at a rate that is proportional to the number presentThe number of bacteria increased from 300 to 800 in 2 hours.

a. State the initial value problem governing this scenariob. Determine the number of bacteria present after 5 hours. Use a calculator to simplify

your final answer. Round to the nearest integer. c. Determine the amount of time it takes for bacteria to triple. Use a calculator to simplify

your final answer to 2 digits after the decimalState the units

d. Find the time when the number of bacteria reaches 4000. Use a calculator to simplify

your final answer to 2 digits after the decimalState the units

Answer 1

800 = 300e^2k, solve for k

A(5) = 300e^5k, use value of k from above.

4000 = 300e^tk, use value of k from above, solve for t