The half-life of a certain radioactive material is 32 days. An initial amount of the material has a mass of 361 kg. 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.

A. ; 0 kg

B. ; 323.945 kg

C. ; 0.797 kg

D. ; 0.199 kg

it is not A.

Question

The half-life of a certain radioactive material is 32 days. An initial amount of the material has a mass of 361 kg. 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.

A. ; 0 kg

B. ; 323.945 kg

C. ; 0.797 kg

D. ; 0.199 kg

it is not A.

anonymous · Answer

@e.cociuba

zale101 · Answer

do you know what's the formula for the radio active decay ?

e.cociuba · Answer

You wanna use this formula: 
The radio active decay formula: A = Ao*2^(-t/h)

anonymous · Answer

i haven't ever used this formula.

zale101 · Answer

plug in the numbers, and solve :)

e.cociuba · Answer

A = remaining amt after t time
Ao = initial amt
t = time of decay
h = half-life of the substance

e.cociuba · Answer

So like Zale said, plug ur numbers in the formula and solve. We will work with you through this problem. So how does your formula now look with all your numbers in?

e.cociuba · Answer

A = 391*2^(-5/32) Now solve it :)