A few days ago
Erin L

Pre-Calc + Bacteria Problem?

1. A population of bacteria decreases by 5.288% every five minutes.

a. Write a modeling function for the bacteria population, leaving the initial population alone

—–For this i have P(t)=Initial(1-0.05288)^t

b. After 6 hours, a single bacteria remains. What was the initial population?

—-I have: 1=Initial(.94712)^360min(6hrs). I got 312030668.2

c. Assume that the bacteria were floating on a noodle in some chicken nooodle soup in the NW dining hall. As the bacteria voted eachother off the noodle, it was televised by the BBC. THe BBC Later determined that the ratings were (in millions): 1 initally, 2 after 1 hour, 5 after 2hrs, 10 after 3hrs, and 17 after 4hrs. Write a function that models the ratings exactly

d. Re-write the function from (c) so that your time unites are minutes instead of hours.

e. Express the number of bacteria on the noodle as a function of the ratings

THanks for anyone who can help, and can you say what you did also?

Top 1 Answers
A few days ago
hayharbr

Favorite Answer

Unless your t stands for the number of 5 minute intervals, you should make the exponent be t/5 not t.
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