The rate of growth of the population of a city is predicted to be the following, where p is the population at time t is measured in years from the present. dp dt = 1000+1.05 Suppose that the current population is 100,000. (a) What is the predicted rate of growth 3 years from the present? (Round your answer to the nearest integer.) 3169 ✔ people per year (b) What is the predicted population 3 years from the present? (Round your answer to the nearest integer.) 4741 X

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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The rate of growth of the population of a city is predicted to be the following, where p is the population at time t is measured in years from the present.
dp
= 1000t¹.05
Suppose that the current population is 100,000.
(a) What is the predicted rate of growth 3 years from the present? (Round your answer to the nearest integer.)
3169
people per year
(b) What is the predicted population 3 years from the present? (Round your answer to the nearest integer.)
Transcribed Image Text:The rate of growth of the population of a city is predicted to be the following, where p is the population at time t is measured in years from the present. dp = 1000t¹.05 Suppose that the current population is 100,000. (a) What is the predicted rate of growth 3 years from the present? (Round your answer to the nearest integer.) 3169 people per year (b) What is the predicted population 3 years from the present? (Round your answer to the nearest integer.)
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