A population grows according to the model, 1500e^0.06t where (A) is the population (t) is years after the start of the year 2000. According to this model, what is the average rate of change of the population between 2003 and 2012? The approximate average rate of change is _________ people per year.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 16EQ

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Question

A population grows according to the model, 1500e^0.06t where (A) is the population (t) is years after the start of the year 2000. According to this model, what is the average rate of change of the population between 2003 and 2012? The approximate average rate of change is _________ people per year. (Round answer to nearest tenth.) A hotel rents rooms to customers by the night. The hotel determines that if it sets the price of the room to be $160 per night, 150 rooms will be rented. In order to rent 200 rooms, it must lower the price to $110 per night. If the hotel sets the price to be $110 per night, what is the marginal revenue? The marginal revenue is $ _________ per room. (Round answer to nearest dollar. If more than one answer, separate with a comma.)

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