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Bacteria are growing in a liquid growth medium.There were 300,000 cells per milliliter during aninitial observation. The number of cells per milliliterdoubles every 3 hours. How many cells per milliliterwill there be 15 hours after the initial observation?A) 1,500,000B) 2,400,000C) 4,500,000D) 9,600,000

Question

Bacteria are growing in a liquid growth medium.There were 300,000 cells per milliliter during aninitial observation. The number of cells per milliliterdoubles every 3 hours. How many cells per milliliterwill there be 15 hours after the initial observation?A) 1,500,000B) 2,400,000C) 4,500,000D) 9,600,000

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Solution

The number of bacteria doubles every 3 hours. So, in 15 hours, the number of bacteria will double 15/3 = 5 times.

Let's calculate:

  1. After 3 hours: 300,000 * 2 = 600,000
  2. After 6 hours: 600,000 * 2 = 1,200,000
  3. After 9 hours: 1,200,000 * 2 = 2,400,000
  4. After 12 hours: 2,400,000 * 2 = 4,800,000
  5. After 15 hours: 4,800,000 * 2 = 9,600,000

So, 15 hours after the initial observation, there will be 9,600,000 cells per milliliter. The correct answer is D) 9,600,000.

This problem has been solved

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