Question

The half-life of a certain radioactive material is 36 days. An initial amount of the material has a mass of 487kg. Write an exponential function that models the decay of this material. Find how much radioactive material remains after 5 days. Round your answer to the nearest thousandth.

Answer 1

442.302 kg

Explanation:

amount = 487 (1/2)^(t/36) where t is the number of days.

if t = 5

amount = 487(.5)^(5/36)

= 442.302 kg