The population of a town is growing according to the differential equation dy/dt =ky The growth constant, k, is equal to 0.11 year -1. The size of the population at the start of the year 2000 was 30 thousand. Since the population is growing exponentially, the population in year t is given by y=30e^0.11t Here, y is measured in thousa

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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The population of a town is growing according to the differential equation

dy/dt =ky

The growth constant, k, is equal to 0.11 year -1.

The size of the population at the start of the year 2000 was 30 thousand.

Since the population is growing exponentially, the population in year t is given by

y=30e^0.11t

Here, y is measured in thousands and t is measured in years since 2000.

 

  1. What is the population of the town at the start of the year 2006?

    (Enter your answer correct to one decimal place.)

    Population: ___ thousand.

     

  2. How many years does it take for the population to double?

    (Enter your answer correct to two decimal places.)

    Doubling time : ___ years.

     

  3. What will be the size of the population after three doubling times have passed? (That is, after three times the correct answer to part b have passed?)

    (Enter your answer correct to one decimal place.)

    Population after three doubling times : ___ thousand.

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im confused on the last part: 

What will be the size of the population after three doubling times have passed? (That is, after three times the correct answer to part b have passed?)

(Enter your answer correct to one decimal place.)

Population after three doubling times :  thousand.

there was no answer given that is is a whole number?

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