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In 2000, there were about 212 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 h 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 212 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 h 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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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In 2000, there were about 212 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
Transcribed Image Text:In 2000, there were about 212 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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