## anonymous one year ago 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.

1. xapproachesinfinity

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

2. xapproachesinfinity

A is the initial amount

3. anonymous

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

4. anonymous

323.945 kg

5. xapproachesinfinity

why x on bottom?

6. anonymous

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

7. anonymous

well the middle of the 1/32

8. anonymous

|dw:1435862094502:dw|

9. xapproachesinfinity

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

10. xapproachesinfinity

ok good then

11. anonymous

Am i right?

12. xapproachesinfinity

yeah !

13. anonymous

Thank you for double checking for me :)

14. xapproachesinfinity

np!