The graph below reflects the population of a particular country for several decades beginning in 1980. Time, t, is measured in years since 1980. The population, P, is measured in people. An exponential trend line is shown. 2500000 2000000 1500000 1000000 500000 Part 1 0 5 10 15 Years Since 1980 20 The equation of the trend line is P = 2001284(1-0.04) 25 What is the initial value of the trend line's equation? Include units. ---Select--- What is the interpretation of the initial value? State whether or not the interpretation is practical. O The country's population is expected to decrease by 4% per year. This is a practical interpretation. O The country's population is expected to decrease by 0.04 people per year. This is not a practical interpretation because there is no such thing as 0.04 of a person. O In 1980, the population is estimated to be 2,001,284 people. This is a practical interpretation. O2,001,284 years after 1980, the population of the country will be 0 people. This is not a practical interpretation because the model will break down that far into the future.

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The graph below reflects the population of a particular country for several decades beginning in 1980. Time, t, is measured in years since 1980. The population, P, is measured in people. An
exponential trend line is shown.
Population
2500000
2000000
1500000
1000000
500000
Part 1
0
Q
5
10
15
Years Since 1980
20
The equation of the trend line is P = 2001284(1-0.04)
25
What is the initial value of the trend line's equation? Include units.
---Select---
What is the interpretation of the initial value? State whether or not the interpretation is practical.
O The country's population is expected to decrease by 4% per year. This is a practical interpretation.
The country's population is expected to decrease by 0.04 people per year. This is not a practical interpretation because there is no such thing as 0.04 of a person.
O In 1980, the population is estimated to be 2,001,284 people. This is a practical interpretation.
O 2,001,284 years after 1980, the population of the country will be 0 people. This is not a practical interpretation because the model will break down that far into the future.
The equation of the trend line is P = 2001284(1-0.04)*
Transcribed Image Text:The graph below reflects the population of a particular country for several decades beginning in 1980. Time, t, is measured in years since 1980. The population, P, is measured in people. An exponential trend line is shown. Population 2500000 2000000 1500000 1000000 500000 Part 1 0 Q 5 10 15 Years Since 1980 20 The equation of the trend line is P = 2001284(1-0.04) 25 What is the initial value of the trend line's equation? Include units. ---Select--- What is the interpretation of the initial value? State whether or not the interpretation is practical. O The country's population is expected to decrease by 4% per year. This is a practical interpretation. The country's population is expected to decrease by 0.04 people per year. This is not a practical interpretation because there is no such thing as 0.04 of a person. O In 1980, the population is estimated to be 2,001,284 people. This is a practical interpretation. O 2,001,284 years after 1980, the population of the country will be 0 people. This is not a practical interpretation because the model will break down that far into the future. The equation of the trend line is P = 2001284(1-0.04)*
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The equation of the trend line is P = 2001284(1-0.04)t. predict the population of the country in 1994. Include units. Round to the nearest whole number.

 

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Predict the population of the country in 1994. Include units. Round to the nearest whole number.

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