If a habitat loses 10% of its biodiversity each year due to pollution, how much

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What’s inside this PDF?

Question: If a habitat loses 10% of its biodiversity each year due to pollution, how much biodiversity remains after 3 years if it starts with 100 species?

Options:

70.4
72.9
73.5
75.0

Correct Answer: 70.4

Solution:

After 1 year: 100 - (10% of 100) = 90. After 2 years: 90 - (10% of 90) = 81. After 3 years: 81 - (10% of 81) = 72.9 species remain.

If a habitat loses 10% of its biodiversity each year due to pollution, how much

Practice Questions

If a habitat loses 10% of its biodiversity each year due to pollution, how much biodiversity remains after 3 years if it starts with 100 species?

70.4
72.9
73.5
75.0

Questions & Step-by-Step Solutions

If a habitat loses 10% of its biodiversity each year due to pollution, how much biodiversity remains after 3 years if it starts with 100 species?

Step 1: Start with 100 species in the habitat.
Step 2: Calculate 10% of 100 species. 10% of 100 is 10.
Step 3: Subtract 10 from 100. 100 - 10 = 90 species remain after 1 year.
Step 4: Now, calculate 10% of the remaining 90 species. 10% of 90 is 9.
Step 5: Subtract 9 from 90. 90 - 9 = 81 species remain after 2 years.
Step 6: Next, calculate 10% of the remaining 81 species. 10% of 81 is 8.1.
Step 7: Subtract 8.1 from 81. 81 - 8.1 = 72.9 species remain after 3 years.

Percentage Decrease – Understanding how to calculate a percentage decrease over multiple periods.
Exponential Decay – Recognizing that the loss of biodiversity is a compounding effect rather than a linear decrease.
Mathematical Operations – Performing basic arithmetic operations accurately.

If a habitat loses 10% of its biodiversity each year due to pollution, how much

What’s inside this PDF?

If a habitat loses 10% of its biodiversity each year due to pollution, how much

Practice Questions

Questions & Step-by-Step Solutions

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