Here is the function for the number of zombies, N, after t years, with the negative exponent expressed using the fraction ½: N (t) = 300 • 0.5t/8 What is the half-life for the zombie population? Explain in terms of exponents. (To type an exponent, use the ^ key.)

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Mathematics

Obrien

Today, 02:22

Here is the function for the number of zombies, N, after t years, with the negative exponent expressed using the fraction ½: N (t) = 300 • 0.5t/8 What is the half-life for the zombie population? Explain in terms of exponents. (To type an exponent, use the ^ key.)

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Graham · Answer 1

The correct answer should be: Eight years. To get ½ of the 300, you need 0.5^ (t/8) to equal ½, or 0.5. That means that the exponent must be 1. This happens when t = 8 years.