1 answer
(click or scroll down)
The exponential function that models the decay of this radioactive material is:
A(t) = A0 * (1/2)^(t/h)
where A(t) is the amount of radioactive material remaining at time t, A0 is the initial amount of radioactive material, t is the time elapsed, and h is the half-life of the material.
Plugging in the given values, we have:
A(t) = 790 * (1/2)^(t/78)
To find how much radioactive material remains after 18 hours, we substitute t = 18 into the equation:
A(18) = 790 * (1/2)^(18/78)
A(18) ≈ 790 * 0.509
A(18) ≈ 402.11
Rounded to the nearest thousandth, approximately 402.11 kg of radioactive material remains after 18 hours.