In 2000, there were about 200 million vehicles and about 281 million people in a certain country. The number of vehicles has been growing at 3.5% a year, while the population has been growing at 1% a year. (a) Write a formula for the number of vehicles (in millions) as a function of t, the number of years since 2000. Use the general exponential form. V(t) = (b) Write a formula for the number of people (in millions) as a function of t, the number of years since 2000. Use the general exponential form. P(t) = (c) If the growth rates remain constant, when is there, on average, one vehicle per person? Give your answer in exact form and decimal form. Exact form: years since 2000 Decimal form (nearest tenth): years since 2000
In 2000, there were about 200 million vehicles and about 281 million people in a certain country. The number of vehicles has been growing at 3.5% a year, while the population has been growing at 1% a year. (a) Write a formula for the number of vehicles (in millions) as a function of t, the number of years since 2000. Use the general exponential form. V(t) = (b) Write a formula for the number of people (in millions) as a function of t, the number of years since 2000. Use the general exponential form. P(t) = (c) If the growth rates remain constant, when is there, on average, one vehicle per person? Give your answer in exact form and decimal form. Exact form: years since 2000 Decimal form (nearest tenth): years since 2000
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:In 2000, there were about 200 million vehicles and about 281 million people in a certain country. The number of vehicles has been growing at 3.5% a year, while the population has been growing at
1% a year.
(a) Write a formula for the number of vehicles (in millions) as a function of t, the number of years since 2000. Use the general exponential form.
V(t):
=
(b) Write a formula for the number of people (in millions) as a function of t, the number of years since 2000. Use the general exponential form.
P(t) =
=
(c) If the growth rates remain constant, when is there, on average, one vehicle per person? Give your answer in exact form and decimal form.
Exact form:
years since 2000
Decimal form (nearest tenth):
years since 2000
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