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