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.

Answer 1

the decay function is always
\(f(t)=A(\frac{1}{2})^{\frac{t}{k}}\)

Answer 2

A is the initial amount

Answer 3

I think its \[y=361 \left(\begin{matrix}1 \\ 2\end{matrix}\right)^{\frac{ 1 }{ 32x }}\]

Answer 4

323.945 kg

Answer 5

why x on bottom?

Answer 6

I couldnt figure out how to get it to the top right lol

Answer 7

well the middle of the 1/32

Answer 8

ok so your function is \(y=361(1/2)^{x/32}\)

Answer 9

ok good then

Answer 10

Am i right?

Answer 11

yeah !

Answer 12

Thank you for double checking for me :)

Answer 13

np!