The function below represents the number of zombies, N, where t is the number of years since the zombies gained control of Earth: N (t) = 300 · 2-t/8 Is this exponential growth or decay? Explain using your understanding of the properties of exponents. (To type exponents, use the ^ key.)

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Mathematics

Ben Potts

15 December, 10:34

The function below represents the number of zombies, N, where t is the number of years since the zombies gained control of Earth: N (t) = 300 · 2-t/8 Is this exponential growth or decay? Explain using your understanding of the properties of exponents. (To type exponents, use the ^ key.)

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Roy Bradshaw · Answer 1

This is decay. The exponent has a negative sign. The reciprocal of 2 is 0.5. So N (t) can be rewritten as 0.5^ (t/8). The base is fraction less than 1, which is decay.