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A bacteria culture starts with 500 bacteria and grows at a rate proportional to its size. After 5 hours, there are 10000 bacteria. Find a formula for the number of bacteria after t hours. After t hours, there are bacteria. Find the number of bacteria after 6 hours. After 6 hours there are bacteria. Find the growth rate after 6 hours. After 6 hours the rate of growth is bacteria/hour. After how many hours will the population reach 30000? The population will be 30000 at t = hours.

A bacteria culture starts with 500 bacteria and grows at a rate proportional to its size. After 5 hours, there are 10000 bacteria. Find a formula for the number of bacteria after t hours. After t hours, there are bacteria. Find the number of bacteria after 6 hours. After 6 hours there are bacteria. Find the growth rate after 6 hours. After 6 hours the rate of growth is bacteria/hour. After how many hours will the population reach 30000? The population will be 30000 at t = hours.

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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A bacteria culture starts with 500 bacteria and grows at a rate proportional to its size. After 5 hours, there are 10,000 bacteria. 1. **Find a formula for the number of bacteria after t hours.** - After t hours, there are __________ bacteria. 2. **Find the number of bacteria after 6 hours.** - After 6 hours there are __________ bacteria. 3. **Find the growth rate after 6 hours.** - After 6 hours the rate of growth is __________ bacteria/hour. 4. **After how many hours will the population reach 30,000?** - The population will be 30,000 at t = __________ hours.
Transcribed Image Text:A bacteria culture starts with 500 bacteria and grows at a rate proportional to its size. After 5 hours, there are 10,000 bacteria. 1. **Find a formula for the number of bacteria after t hours.** - After t hours, there are __________ bacteria. 2. **Find the number of bacteria after 6 hours.** - After 6 hours there are __________ bacteria. 3. **Find the growth rate after 6 hours.** - After 6 hours the rate of growth is __________ bacteria/hour. 4. **After how many hours will the population reach 30,000?** - The population will be 30,000 at t = __________ hours.
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