## anonymous 3 years ago The half-life of a certain radioactive material is 37 days. An initial amount of the material has a mass of 477 kg. Write an exponential function that models the decay of this material. Find how much radioactive material remains after 6 days. Round your answer to the nearest thousandth. It's multiple choice but in not sure how to type in the answers..

1. anonymous

a) b) c) d)

2. anonymous

3. anonymous

A. $y= 477 (1/2)^37x ; 0 kg$ Its ^37x Thats all sopposed to be small but i dont know how to do that. B. $y=477(1/2)^1/37x ; 426.288kg$ Again its ^1/37 x all small C. $y=2 (1/477)^1/37x ; 0.736 kg$ Same again. ^1/37x D. $y=1/2 (1/477)^1/37x ;0.184kg$ ^1/37x All supposed to be small. Like part of the exponent.

4. anonymous

i would use $477\times \left(\frac{1}{2}\right)^{\frac{t}{37}}$

5. anonymous

to answer the second part, replace $$t$$ by $$6$$ and use a calculator

6. anonymous

Thanks! (:

7. anonymous

yw