PROBLEM 1: A bacteria culture has an initial population of 500. After 4 hours, the population has grown to 1000. Assume that the culture grows at a rate proportional to the size of the population. 1. Find a function representing the population size after t hours. A. 500(2)^(t/4) B. 300(2)^(t/4) C. 100(2)^(t/4) D. 200(2)^(t/4) 2. Determine the size of the population after 6 hours. A. 1414 B. 849 C. 283 D. 566

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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PROBLEM 1:
A bacteria culture has an initial population of 500. After 4
hours, the population has grown to 1000. Assume that the
culture grows at a rate proportional to the size of the
population.
1. Find a function representing the population size after t
hours.
A. 500(2)^(t/4)
B. 300(2)^(t/4)
C. 100(2)^(t/4)
D. 200(2)^(t/4)
2. Determine the size of the population after 6 hours.
A. 1414
B. 849
C. 283
D. 566
Transcribed Image Text:PROBLEM 1: A bacteria culture has an initial population of 500. After 4 hours, the population has grown to 1000. Assume that the culture grows at a rate proportional to the size of the population. 1. Find a function representing the population size after t hours. A. 500(2)^(t/4) B. 300(2)^(t/4) C. 100(2)^(t/4) D. 200(2)^(t/4) 2. Determine the size of the population after 6 hours. A. 1414 B. 849 C. 283 D. 566
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