A radioactive substance decays at a rate of 6% each year if the initial amount of the substance was 600 grams create an exponential function to model the decays of the substanc3 which of the following options correctly models the decay
The exponential function that models the decay of the substance can be written as:
A(t) = A0 * (1 - r)^t
Where:
A(t) = amount of substance remaining after t years
A0 = initial amount of the substance (600 grams)
r = decay rate (6% or 0.06)
t = number of years
Plugging in the values:
A(t) = 600 * (1 - 0.06)^t
A(t) = 600 * 0.94^t
Therefore, the correct exponential function that models the decay of the substance is:
A(t) = 600 * 0.94^t
Option D: A(t) = 600 * 0.94^t