Problem 1. You ingest a certain dangerous bacteria at dinner by accident. When more than 1,000,000 of these organisms are in your gut, you will become violently ill. Their population doubles every 20 minutes. You ate dinner at 7pm and by 5am you are sick. At least how many of these bacteria did you ingest at dinner?

Problem 2. You have a sample of a certain radioactive substance. After two days, thirty percent of the sample has decayed. What is the half-life of the material and how much will have decayed after a week?

Please explain why. Thank you! :)

1 answer

you doubled for ten hours
A=1E6 * (2)^10

.7=1e^(-.693 t/th)
t=2days,

take the ln of each side
ln(.7)=-.693*2/th

thalflife= -.693*2/ln(.7) I get about 3.89 days