12. Population of California The population of Californía was 10,586,223 in 1950 and 23,668,562 in 1980. Assume the population grows exponentially. (a) Find a function that models the population t years after 1950. (b) Find the time required for the population to double. (c) Use the function from part (a) to predict the population of California in the year 2000. Look up California's actual population in 2000, and compare.

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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of bacteria after 4.5 hours.
5.7 billion in 1995 and the observed relative growth rate
(e) When will the number of bacteria be 50,0002
18
11. World Population The population of the world we
19
20
was 2% per year.
(a) By what year will the population have doubled?
(b) By what year will the population have tripled?
12. Population of California The population of Califomiía
was 10,586,223 in 1950 and 23,668,562 in 1980. Assume
the population grows exponentially.
(a) Find a function that models the population t years after
21
1950.
22
(b) Find the time required for the population to double.
(c) Use the function from part (a) to predict the population
of California in the year 2000. Look up California's
actual population in 2000, and compare.
13. Infectious Bacteria An infectious strain of bacteria
increases in number at a relative growth rate of 200% per
hour. When a certain critical number of bacteria are preset
in the bloodstream, a person becomes ill. If a single
bacterium infects a person, the critical level is reached i
24 hours. How long will it take for the critical level to be
reached if the same person is infected with 10 bacteria?
23
14-22 I These exercises use the radioactive decay model.
23
14. Radioactive Rad
years. Suppose
(a) Find a f
half-life of
6 is 1600
ig sampl
s the
fter
Transcribed Image Text:of bacteria after 4.5 hours. 5.7 billion in 1995 and the observed relative growth rate (e) When will the number of bacteria be 50,0002 18 11. World Population The population of the world we 19 20 was 2% per year. (a) By what year will the population have doubled? (b) By what year will the population have tripled? 12. Population of California The population of Califomiía was 10,586,223 in 1950 and 23,668,562 in 1980. Assume the population grows exponentially. (a) Find a function that models the population t years after 21 1950. 22 (b) Find the time required for the population to double. (c) Use the function from part (a) to predict the population of California in the year 2000. Look up California's actual population in 2000, and compare. 13. Infectious Bacteria An infectious strain of bacteria increases in number at a relative growth rate of 200% per hour. When a certain critical number of bacteria are preset in the bloodstream, a person becomes ill. If a single bacterium infects a person, the critical level is reached i 24 hours. How long will it take for the critical level to be reached if the same person is infected with 10 bacteria? 23 14-22 I These exercises use the radioactive decay model. 23 14. Radioactive Rad years. Suppose (a) Find a f half-life of 6 is 1600 ig sampl s the fter
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