SOLUTION: The half-life of a radioactive substance is 1 minute. A 35.7 g sample of this substance is monitored in a laboratory for exactly 5 half-lives. The function m(t)=(35.7)(1/2)^t model

Algebra ->  Linear-equations -> SOLUTION: The half-life of a radioactive substance is 1 minute. A 35.7 g sample of this substance is monitored in a laboratory for exactly 5 half-lives. The function m(t)=(35.7)(1/2)^t model      Log On


   

Question 1102294: The half-life of a radioactive substance is 1 minute. A 35.7 g sample of this substance is monitored in a laboratory for exactly 5 half-lives. The function m(t)=(35.7)(1/2)^t models the decay of the sample. In the function, m(t) represents the amount of the sample remaining after t minutes. What is a reasonable domain for the function for the time the substance is monitored?
A. 1.12≤t≤35.7
B. 0≤t≤5
C. 0≤t≤35.7
D. 1≤t≤10
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Domain starts at t of 0. From there, goes upwards. Where to end for "reasonable"?

m%285%29=3.57%2A%281%2F2%29%5E5
m%285%29=3.57%2F32
m%285%29=0.1116

Your sample's starting accuracy only goes to the nearest 0.1 gram, so best domain choice may be highlight%280%3C=t%3C=5%29.