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A certain species of fish can reproduce every 3 months. If a single fish reprodu

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Question: A certain species of fish can reproduce every 3 months. If a single fish reproduces 20 offspring each time, how many fish will there be after 1 year assuming all offspring survive?

Options:

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

Correct Answer: 120

Solution: 

In 1 year (12 months), there are 4 reproduction cycles. Total fish = 1 + 4 * 20 = 81.

A certain species of fish can reproduce every 3 months. If a single fish reprodu

Practice Questions

Q1
A certain species of fish can reproduce every 3 months. If a single fish reproduces 20 offspring each time, how many fish will there be after 1 year assuming all offspring survive?
  1. 80
  2. 100
  3. 120
  4. 140

Questions & Step-by-Step Solutions

A certain species of fish can reproduce every 3 months. If a single fish reproduces 20 offspring each time, how many fish will there be after 1 year assuming all offspring survive?
  • Step 1: Understand that the fish reproduces every 3 months.
  • Step 2: Calculate how many 3-month periods are in 1 year (12 months). There are 12 / 3 = 4 periods.
  • Step 3: Start with 1 fish. This fish will reproduce 20 offspring in each of the 4 periods.
  • Step 4: Calculate the total number of offspring produced in 4 periods: 4 periods * 20 offspring = 80 offspring.
  • Step 5: Add the original fish to the total offspring: 1 original fish + 80 offspring = 81 fish total.
  • Reproduction Cycles – Understanding how many times the fish can reproduce in a given time frame.
  • Exponential Growth – Recognizing that each offspring can also reproduce, leading to a rapid increase in population.
  • Basic Arithmetic – Performing calculations to determine the total number of fish after a certain period.
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