Question

Frogs: The population of a species of frog declines by 24% every year. Suppose 100 frogs are released into a pond. Which exponential model represents this population?

Answer 1

p = 100(1 + 0.24)^n

Explanation:

If this were exponential growth, we'd use the model p = 100(1 + 0.24)^n, where n is the number of years. But here we have exponential decline, which requires subtracting 0.24 in the formula instead of adding it to 1:

p = 100(1 - 0.24)^n = 100(0.76)^n

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