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..

Question

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..

anonymous · Answer

a)
b)
c)
d)

anonymous · Answer

i have to have them to help you

anonymous · Answer

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.

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

Thanks! (:

anonymous · Answer

yw