A ship carrying 1000 passengers has the misfortune to be shipwrecked on a small islana trom which the passengers are never rescued. The following table gives the population P of the island as a function of the year Y. 1600 1000 1800 5771 1650 1700 1750 1850 5779 3510 5315 5712 ind P(1650) and explain what it means. What is the average rate of change per year in the population between 1650 and 17007 Make sure to include appropriate units and show your calculation. Round your answer to two decimal places. Estimate P(1672) and explain/show how you made your estimate. What is the average rate of change per year in the population between 1800 and 1850? Make sure to include appropriate units and show your calculation. Round your answer to two decimal places. Use your answers from parts b and d to describe how the population on the island has grown.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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A ship carrying 1000 passengers has the misfortune to be shipwrecked on a small
2
island trom which the passengers are never rescued. The following table gives the population P
of the island as a function of the year Y.
1850
5779
Y
1600
1750
1650
3510
1700
1800
1000
5315
5712
5771
Find P(1650) and explain what it means,
b)
What is the average rate of change per year in the population between 1650 and
1700? Make sure to include appropriate units and show your calculation. Round your answer to
two decimal places.
Estimate P(1672) and explain/show how you made your estimate.
What is the average rate of change per year in the population between 1800 and
1850? Make sure to include appropriate units and show your calculation. Round your answer to
two decimal places.
Use your answers from parts band d to describe how the population on the island
has grown.
Transcribed Image Text:A ship carrying 1000 passengers has the misfortune to be shipwrecked on a small 2 island trom which the passengers are never rescued. The following table gives the population P of the island as a function of the year Y. 1850 5779 Y 1600 1750 1650 3510 1700 1800 1000 5315 5712 5771 Find P(1650) and explain what it means, b) What is the average rate of change per year in the population between 1650 and 1700? Make sure to include appropriate units and show your calculation. Round your answer to two decimal places. Estimate P(1672) and explain/show how you made your estimate. What is the average rate of change per year in the population between 1800 and 1850? Make sure to include appropriate units and show your calculation. Round your answer to two decimal places. Use your answers from parts band d to describe how the population on the island has grown.
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