Solution Found!
Suppose that the number of bacteria in a colony triples
Chapter 1, Problem 19E(choose chapter or problem)
Problem 19E
Suppose that the number of bacteria in a colony triples every hour.
a) Set up a recurrence relation for the number of bacteria after n hours have elapsed.
b) If 100 bacteria are used to begin a new colony, how many bacteria will be in the colony in 10 hours?
Questions & Answers
QUESTION:
Problem 19E
Suppose that the number of bacteria in a colony triples every hour.
a) Set up a recurrence relation for the number of bacteria after n hours have elapsed.
b) If 100 bacteria are used to begin a new colony, how many bacteria will be in the colony in 10 hours?
ANSWER:
Solution
Step 1:
Suppose that the number of bacteria in a colony triples every hour.
In this problem in part (a) we have to set up a recurrence relation from the given information for the number of bacteria after n hours have elapsed.
And in part (b) we have to find the number of bacteria in 10 hours if 100 bacteria are used to begin a new colony.