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A certain species of fish can reproduce every 6 months. If a single fish reprodu

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Question: A certain species of fish can reproduce every 6 months. If a single fish reproduces 20 offspring each time, how many fish will there be after 3 years assuming no deaths?

Options:

  1. 80
  2. 100
  3. 120
  4. 140

Correct Answer: 120

Solution: 

3 years = 6 periods of reproduction. 1 fish produces 20 offspring each time: 20 * 6 = 120 fish.

A certain species of fish can reproduce every 6 months. If a single fish reprodu

Practice Questions

Q1
A certain species of fish can reproduce every 6 months. If a single fish reproduces 20 offspring each time, how many fish will there be after 3 years assuming no deaths?
  1. 80
  2. 100
  3. 120
  4. 140

Questions & Step-by-Step Solutions

A certain species of fish can reproduce every 6 months. If a single fish reproduces 20 offspring each time, how many fish will there be after 3 years assuming no deaths?
  • Step 1: Determine how many months are in 3 years. There are 12 months in a year, so 3 years is 3 * 12 = 36 months.
  • Step 2: Find out how many 6-month periods are in 36 months. Divide 36 by 6, which gives you 6 periods.
  • Step 3: Understand that in each 6-month period, the original fish reproduces 20 offspring.
  • Step 4: Calculate the total number of fish produced over the 6 periods. Since the original fish produces 20 offspring each time, multiply 20 by the number of periods: 20 * 6 = 120.
  • Step 5: Add the original fish to the total number of offspring. So, 120 offspring + 1 original fish = 121 fish.
  • Exponential Growth – The problem tests understanding of exponential growth in populations, where each generation produces multiple offspring.
  • Time Calculation – The question requires converting years into reproduction periods to determine the total number of generations.
  • Multiplication of Offspring – It assesses the ability to correctly multiply the number of offspring produced over multiple reproduction cycles.
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