What is the half-life for the zombie population? Explain in terms of exponents. (To type an exponent, use the ^ key.)

Answer:

To find the half-life, the exponential part of the function (0.5)^(t/8) needs to equal 0.5. This happens when the exponent t/8 equals 1. Solving for t, we get t = 8. Therefore, the half-life is 8 units of time (such as hours or days), because at t = 8, the base of 0.5 is raised to the power of 1, resulting in half of the initial population.