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A lab technician wishes to grow a culture of 800,000 bacteria, which are known to double in 16 hours. The technician begins with 9000 bacteria.
-How many hours will it take for the culture to produce the 100,000 bacteria? Round your answer to the nearest hour.
A) 64 hours
B) 66 hours
C) 69 hours
D) 72 hours

Question

Quizplus · Accepted Answer

The bacteria double every 16 hours. Using the formula for exponential growth, N = N0 * 2^(t/T), where N is the final amount, N0 is the initial amount, t is time, and T is the doubling time, we solve for t: 800,000 = 9,000 * 2^(t/16). Solving this gives t ≈ 69 hours.

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