A is the amount of caffeine left in your body after two hours, C is the amount of caffeine originally ingested, and k is the half-life of caffeine (about 5.7 hours). Round all other numbers to the thousandths place.

Question

Formula A=C (0.5)2/k
c=29 and k = 5.7
I don't understand how to work this problem can someone show me baby step by baby step or explain like you would a 5 year old.

Answer 1

So you are evaluating

A = c (.5)^(2/5.7)

2/5.7 = appr .350877

so we need (.5)^.350877

If you have a good calculator look for a key function
labeled y^x, which we usually type as y^x

enter the base .5
push that y^x button
enter .350877
press the = button to get
.7841..
multiply that by 29 for a final answer of
A = 22.739

It's just a matter of button-pushing