SSAT Math Question 181: Answer and Explanation

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Question: 181

15. A certain population of microbes grows according to the formula P = A × 2n, where P is the final size of the population, A is the initial size of the population, and n is the number of times the population reproduces itself. If each microbe reproduces itself every 20 minutes, how large would a population of only one microbe become after 4 hours?

  • A. 16
  • B. 64
  • C. 128
  • D. 1028

Correct Answer: E

Explanation:

The correct answer is (E). The population would reproduce 12 times in 4 hours. The size then is P = 1 × 212

= 2 o 2 o 2 o 2 o 2 o 2 o 2 o 2 o 2 o 2 o 2 o 2

= 4096

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