Roughly 12000 people in a certain country are diagnose a thyroid cancer every year which accounts for 1% of all cancer cases that occurs in women 3 times as frequently as men fortunately thyroid cancer can be treated successfully and many cases with radioactive iodine or i-131 this unstable form of iodine has a 1/2 life of 8 days and is given in small doses measured in milicuries
a)suppose a patient is given initial dose of 80 milicuries. find a function that gives the amount of i-131 in the body after t> 0(more than or equal) days
b) how long does it take for the amount of i131 to reach 15% of the initial dose
c) finding the initial dose to give a particular patient is a critical calculation. how does the time to reach 15% of the initial dose change if the initial dose increased by 5%