If a coral reef ecosystem has a growth rate of 2% per year and currently has 500

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Question: If a coral reef ecosystem has a growth rate of 2% per year and currently has 500 corals, how many corals will there be after 2 years?

Options:

Correct Answer: 540

Solution:

After 1 year: 500 * 1.02 = 510. After 2 years: 510 * 1.02 = 520.2, rounded to 520 corals.

If a coral reef ecosystem has a growth rate of 2% per year and currently has 500 corals, how many corals will there be after 2 years?

If a coral reef ecosystem has a growth rate of 2% per year and currently has 500 corals, how many corals will there be after 2 years?

Step 1: Start with the current number of corals, which is 500.
Step 2: Calculate the growth for the first year. Multiply 500 by 1.02 (which represents a 2% increase). This gives you 510 corals after 1 year.
Step 3: Now, take the new number of corals (510) and calculate the growth for the second year. Multiply 510 by 1.02. This gives you 520.2 corals after 2 years.
Step 4: Since we can't have a fraction of a coral, round 520.2 to the nearest whole number, which is 520 corals.

Exponential Growth – Understanding how populations grow over time using a percentage increase.
Rounding Numbers – Applying rounding rules to arrive at a whole number when necessary.