3. (Extra) The Department of Health in a developing country has issued a warning that the number, N, of reported cases of a certain disease is increasing exponentially at a rate of 10% per year. The first year that statistics were collected, 5000 cases were reported. (a) Find the relative growth rate k when written a function relating the number, N, of cases reported after t years in a form of N(t) = No e“, where t is no. of years after the first data collected. (b) Estimate the number of cases reported after 5 years using the function developed in (a). (c) Estimate the number of years, to the nearest tenth, required for the number of reported cases to rise to 11,000.
3. (Extra) The Department of Health in a developing country has issued a warning that the number, N, of reported cases of a certain disease is increasing exponentially at a rate of 10% per year. The first year that statistics were collected, 5000 cases were reported. (a) Find the relative growth rate k when written a function relating the number, N, of cases reported after t years in a form of N(t) = No e“, where t is no. of years after the first data collected. (b) Estimate the number of cases reported after 5 years using the function developed in (a). (c) Estimate the number of years, to the nearest tenth, required for the number of reported cases to rise to 11,000.
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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Transcribed Image Text:3. (Extra) The Department of Health in a developing country has issued a warning that the number,
N, of reported cases of a certain disease is increasing exponentially at a rate of 10% per year.
The first year that statistics were collected, 5000 cases were reported.
(a) Find the relative growth rate k when written a function relating the number, N, of cases
reported after t years in a form of N(t) = No e“, where t is no. of years after the first data
collected.
(b) Estimate the number of cases reported after 5
years using the function developed in (a).
(c) Estimate the number of years, to the nearest tenth, required for the number of reported
cases to rise to 11,000.
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