Question 960997
A certain amount of Californium-251 is slowly decaying.
 After 101 years 92.5 grams of an initial 100 grams are remaining.
:
a. Create a function, Q(t), that will calculate how much Californium-251 is remaining after t years.
Q(t) = 100*2^(-t/h), where h = the half-life of the substance
:
b. What is the approximate half-life of Californium-251? 
Q(t) = 92.5 yrs
100*2^(-101/h) = 92.5
2^(-101/h) = {{{92.5/100}}}
2^(-101/h) = .925
{{{-101/h}}} = {{{ln(.925)/ln(2)}}}
use your calc
{{{-101/h}}} = -.11247473
-101 = -.11247473h
h = {{{(-101)/(-.11247473)}}}
h = 898 yrs is the half-life