If a coral reef ecosystem loses 10% of its coral cover each year due to bleachin

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What’s inside this PDF?

Question: If a coral reef ecosystem loses 10% of its coral cover each year due to bleaching, how much coral cover remains after 3 years if it starts with 100%?

Options:

70%
72.9%
73%
75%

Correct Answer: 72.9%

Solution:

After 3 years: 100% * (0.9^3) = 72.9% coral cover remains.

If a coral reef ecosystem loses 10% of its coral cover each year due to bleachin

Practice Questions

If a coral reef ecosystem loses 10% of its coral cover each year due to bleaching, how much coral cover remains after 3 years if it starts with 100%?

70%
72.9%
73%
75%

Questions & Step-by-Step Solutions

If a coral reef ecosystem loses 10% of its coral cover each year due to bleaching, how much coral cover remains after 3 years if it starts with 100%?

Step 1: Start with the initial coral cover, which is 100%.
Step 2: Understand that losing 10% of coral cover means you have 90% remaining each year.
Step 3: Convert 90% to a decimal for calculations, which is 0.9.
Step 4: Since the coral loses 10% each year, you will multiply the remaining coral cover by 0.9 for each year.
Step 5: Calculate the remaining coral cover after 1 year: 100% * 0.9 = 90%.
Step 6: Calculate the remaining coral cover after 2 years: 90% * 0.9 = 81%.
Step 7: Calculate the remaining coral cover after 3 years: 81% * 0.9 = 72.9%.
Step 8: Therefore, after 3 years, 72.9% of the coral cover remains.

Exponential Decay – The question tests understanding of exponential decay, where a quantity decreases by a constant percentage over time.
Percentage Calculation – It requires the ability to calculate percentages and apply them iteratively over multiple time periods.

If a coral reef ecosystem loses 10% of its coral cover each year due to bleachin

What’s inside this PDF?

If a coral reef ecosystem loses 10% of its coral cover each year due to bleachin

Practice Questions

Questions & Step-by-Step Solutions

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