If a certain ecosystem loses 10% of its species each year, how many species will

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Question: If a certain ecosystem loses 10% of its species each year, how many species will remain after 2 years if it starts with 200 species?

Options:

Correct Answer: 160

Solution:

After 1 year: 200 - (10% of 200) = 180. After 2 years: 180 - (10% of 180) = 162.

If a certain ecosystem loses 10% of its species each year, how many species will remain after 2 years if it starts with 200 species?

If a certain ecosystem loses 10% of its species each year, how many species will remain after 2 years if it starts with 200 species?

Step 1: Start with the initial number of species, which is 200.
Step 2: Calculate 10% of 200. This is done by multiplying 200 by 0.10, which equals 20.
Step 3: Subtract the 10% (20 species) from the initial number (200). So, 200 - 20 = 180 species remain after 1 year.
Step 4: Now, take the remaining species (180) and calculate 10% of it. Multiply 180 by 0.10, which equals 18.
Step 5: Subtract the 10% (18 species) from the remaining number (180). So, 180 - 18 = 162 species remain after 2 years.

Percentage Decrease – Understanding how to calculate a percentage decrease over multiple time periods.
Exponential Decay – Recognizing that the decrease is not linear but rather exponential due to the percentage being applied to a decreasing number.