A biologist is researching a newly discovered species of bacteria. At time t=0 hours, she puts on hundred bacteria into a Petri dish. Six hours later, she measures 450 bacteria. Assuming exponential growth, what is the growth rate "k" for the bacteria? (Round your percent to two decimals and include units)

asked by Lily

7 years ago

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1 answer

450 = 100 e^(kt)

4.5 = e^(6k)

ln(4.5) = 6 k

k = [ln(4.5)] / 6

answered by Scott

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Question

A biologist is researching a newly discovered species of bacteria. At time t=0 hours, she puts on hundred bacteria into a Petri dish. Six hours later, she measures 450 bacteria. Assuming exponential growth, what is the growth rate "k" for the bacteria? (Round your percent to two decimals and include units)

1 answer

450 = 100 e^(kt)

4.5 = e^(6k)

ln(4.5) = 6 k

k = [ln(4.5)] / 6

Ask a New Question or answer this question.

Scott · Answer

450 = 100 e^(kt) 4.5 = e^(6k) ln(4.5) = 6 k k = [ln(4.5)] / 6