The amount of radioactive material present at the initial measurement is 100 grams.
To find the amount of radioactive material present at the initial measurement (t=0), you can simply substitute t=0 into the given exponential function A(t):
A(0)=100⋅(4.3)^(−0.5 × 0)
Anything raised to the power of 0 is 1, so:
A(0)=100 × 4.3^0 = 100 ×1= 100 grams
Therefore, the amount of radioactive material present at the initial measurement is 100 grams.
Question
The amount of radioactive material in an ore sample is given by the exponential function A(t)=100(4.3)^{-0.5 t where A(t) is the amount present, in grams, of the sample t months after the initial measurement.
How much radioactive material was present at the initial measurement? (Hint: t=0 .)