Question

The half-life of a certain radioactive material is 83 hours. An initial amount of the material has a mass of 67 kg. Write an exponential function that models the decay of this material. Find how much radioactive material remains after 5 hours. Round the answer to the nearest thousandth.​

Answer 1

• Initial amount of the material is 67 kg
• Hal-life is 83 hours

The required equation is:

• m(x) = 67 *
  `(1/2)^(x/83)`, where m- remaining amount of the radioactive material, x - number of hours

After 5 hours the material remains:

• m(5) = 67 *
  `(1/2)^(5/83)` = 64.260 (rounded)