Question: A lake ecosystem has a fish population that doubles every year. If there are 50 fish in the first year, how many will there be after 4 years?
Options:
200
400
800
1600
Correct Answer: 1600
Solution:
50 fish * 2^4 = 50 * 16 = 800 fish after 4 years.
A lake ecosystem has a fish population that doubles every year. If there are 50
Practice Questions
Q1
A lake ecosystem has a fish population that doubles every year. If there are 50 fish in the first year, how many will there be after 4 years?
200
400
800
1600
Questions & Step-by-Step Solutions
A lake ecosystem has a fish population that doubles every year. If there are 50 fish in the first year, how many will there be after 4 years?
Step 1: Start with the initial number of fish, which is 50.
Step 2: Understand that the fish population doubles every year.
Step 3: Calculate how many times the population doubles in 4 years. This is 4 times.
Step 4: Use the formula for doubling: Initial number of fish multiplied by 2 raised to the power of the number of years. This is 50 * 2^4.
Step 5: Calculate 2^4, which is 16.
Step 6: Multiply the initial number of fish (50) by 16. This gives you 50 * 16.
Step 7: Calculate 50 * 16, which equals 800.
Step 8: Conclude that after 4 years, there will be 800 fish in the lake.
Exponential Growth – The concept of a population doubling over a fixed period, illustrating exponential growth.
Mathematical Operations – Understanding how to apply multiplication and exponentiation in the context of growth calculations.
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