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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 all offspring survive?

Options:

  1. 80
  2. 160
  3. 320
  4. 640

Correct Answer: 320

Solution: 

3 years = 6 periods of 6 months. 20 offspring * 6 = 120 fish + 1 original = 121 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 all offspring survive?
  1. 80
  2. 160
  3. 320
  4. 640

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 all offspring survive?
  • Step 1: Understand that the fish reproduces every 6 months.
  • Step 2: Calculate how many 6-month periods are in 3 years. There are 3 years * 2 (periods per year) = 6 periods.
  • Step 3: Each time the fish reproduces, it has 20 offspring.
  • Step 4: Multiply the number of offspring by the number of reproduction periods: 20 offspring * 6 periods = 120 offspring.
  • Step 5: Add the original fish to the total number of offspring: 120 offspring + 1 original fish = 121 fish.
  • Exponential Growth – The problem tests understanding of exponential growth in populations, as each fish reproduces multiple times over a set period.
  • Time Calculation – The question requires converting years into the appropriate time periods (6 months) to calculate the number of reproduction cycles.
  • Basic Arithmetic – The solution involves basic multiplication and addition to find the total number of fish.
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