[Medal] The half-life of a material is 42 days. An initial amount of the material has a mass of 49 kg. Write an exponential function that models the decay of this material.

Question

ltrout · Answer

I'm thinking it's going to be y = 49(1/2)^_x

Idk what to put for the _ before the x.

ltrout · Answer

@Qwertty123 Quick help?

qwertty123 · Answer

Okay...
The half-life of a certain radioactive material is 42 days.
An initial amount of the material has a mass of 49 kg.
Write an exponential function that models the decay of this material.
:
A = Ao*2^(-t/h), where:
A = amt after t time
Ao = initial amt (t=0)
t = time of decay

qwertty123 · Answer

h = half life of substance
:
A = 49*2^(-t/42)
:
:
Find how much radioactive material remains after 8 days.
A = 49*2^(-8/42)
A = ?

ltrout · Answer

It would be about 42.940 Kg. So the equation would be $$y = 49\frac{ 1 }{ 2 }^{\frac{ 1 } { 42 } x}$$?

qwertty123 · Answer

yes it would be..

ltrout · Answer

Alright. Thank you :)

qwertty123 · Answer

A = 42.9395 ~ 42.940, to the nearest thousandth.

qwertty123 · Answer

You welcome..

qwertty123 · Answer

https://www.algebra.com/algebra/homework/Exponential-and-logarithmic-functions/Exponential-and-logarithmic-functions.faq.question.681751.html