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Suppose that the bacteria in a colony grow unchecked according to the Law of Exponential Change. The colony starts with 1 bacterium and triples in number every 10 minutes. How many bacteria will the colony contain at the end of 12 ​hours? Use scientific notation in your answer Use the multiplication symbol round to one decimal place

Suppose that the bacteria in a colony grow unchecked according to the Law of Exponential Change. The colony starts with 1 bacterium and triples in number every 10 minutes. How many bacteria will the colony contain at the end of 12 ​hours? Use scientific notation in your answer Use the multiplication symbol round to one decimal place

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question

Suppose that the bacteria in a colony grow unchecked according to the Law of Exponential Change. The colony starts with 1 bacterium and triples in number every 10 minutes. How many bacteria will the colony contain at the end of 12 ​hours?

Use scientific notation in your answer

Use the multiplication symbol

round to one decimal place

Expert Solution
Step 1: given data

Here the tripling time is given.

So use the equation;

y equals a open parentheses 3 close parentheses to the power of t over p end exponent

The initial number of bacteria is a=1

The tripling time is, p=10 minutes

y equals 1 open parentheses 3 close parentheses to the power of t over 10 end exponent

y equals open parentheses 3 close parentheses to the power of t over 10 end exponent

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