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An initial census taken in a small Asian country found the population to be 22.9 million. Ten years later the population had increased to 23.7 million. During the same time period, a census was taken in a South Pacific nation. The initial census found a population of 19.0 million. Ten years later, the population had increased to 22.6 million. Part: 0/4 Part 1 of 4 (a) Write a function of the form P (t)=Poek to model the population P (t) (in millions) t years after the initial census for the Asian and South Pacific countries. Round the value of k to five decimal places. rail 2 UI 4 Country Part 3 of 4 Asian South Pacific Population (in millions) when t=0 22.9 19.0 Population (in millions) when t=10 23.7 22.6 P(t)=Pekt P(t)= P(t) = (b) Use the models from parts (a) and (b) to predict the population 20 years after the initial census was taken for each country. Round to three decimal places. The predicted population of the Asian country 20 years after the initial census would be approximately million. The predicted population of the South Pacific country 20 years after the initial census would be approximately million. X 5 (c) The South Pacific country had fewer people than the Asian country in the initial census, yet from the result of part (c), the South Pacific country will have more people 20 years later. Why? The South Pacific country will have more people than the Asian country in 20 years because the (Choose one) ▼ is (Choose one) ▼ for the South Pacific country than for the Asian country. growth rate initial population X

An initial census taken in a small Asian country found the population to be 22.9 million. Ten years later the population had increased to 23.7 million. During the same time period, a census was taken in a South Pacific nation. The initial census found a population of 19.0 million. Ten years later, the population had increased to 22.6 million. Part: 0/4 Part 1 of 4 (a) Write a function of the form P (t)=Poek to model the population P (t) (in millions) t years after the initial census for the Asian and South Pacific countries. Round the value of k to five decimal places. rail 2 UI 4 Country Part 3 of 4 Asian South Pacific Population (in millions) when t=0 22.9 19.0 Population (in millions) when t=10 23.7 22.6 P(t)=Pekt P(t)= P(t) = (b) Use the models from parts (a) and (b) to predict the population 20 years after the initial census was taken for each country. Round to three decimal places. The predicted population of the Asian country 20 years after the initial census would be approximately million. The predicted population of the South Pacific country 20 years after the initial census would be approximately million. X 5 (c) The South Pacific country had fewer people than the Asian country in the initial census, yet from the result of part (c), the South Pacific country will have more people 20 years later. Why? The South Pacific country will have more people than the Asian country in 20 years because the (Choose one) ▼ is (Choose one) ▼ for the South Pacific country than for the Asian country. growth rate initial population X

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.4: Functions Given By Words
Problem 13E
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An initial census taken in a small Asian country found the population to be 22.9 million. Ten years later the population had increased to 23.7 million. During the same time period, a census was taken in a South Pacific nation. The initial census found a population of 19.0 million. Ten years later, the population had increased to 22.6 million. Part: 0/4 Part 1 of 4 (a) Write a function of the form P (t)=Poek to model the population P (t) (in millions) t years after the initial census for the Asian and South Pacific countries. Round the value of k to five decimal places. rail 2 UI 4 Part 3 of 4 Country Asian South Pacific Part 4 of 4 Population (in millions) when t=0 22.9 19.0 Population (in millions) when t=10 23.7 22.6 (b) Use the models from parts (a) and (b) to predict the population 20 years after the initial census was taken for each country. Round to three decimal places. The predicted population of the Asian country 20 years after the initial census would be approximately million. The predicted population of the South Pacific country 20 years after the initial census would be approximately million. P(t)=Pekt P(t) = P(t) = (c) The South Pacific country had fewer people than the Asian country in the initial census, yet from the result of part (c), the South Pacific country will have more people 20 years later. Why? The South Pacific country will have more people than the Asian country in 20 years because the (Choose one) ▼ is (Choose one) for the South Pacific country than for the Asian country. growth rate initial population X (d) Assuming that the population growth trend continues in each country, use the models from parts (a) and (b) to predict the number of years for the population to reach 30 million in each country. Round to the nearest year. If this trend continues, the Asian country's population will reach 30 million in years. If this trend continues, the South Pacific country's population will reach 30 million in X years. S X
Transcribed Image Text:An initial census taken in a small Asian country found the population to be 22.9 million. Ten years later the population had increased to 23.7 million. During the same time period, a census was taken in a South Pacific nation. The initial census found a population of 19.0 million. Ten years later, the population had increased to 22.6 million. Part: 0/4 Part 1 of 4 (a) Write a function of the form P (t)=Poek to model the population P (t) (in millions) t years after the initial census for the Asian and South Pacific countries. Round the value of k to five decimal places. rail 2 UI 4 Part 3 of 4 Country Asian South Pacific Part 4 of 4 Population (in millions) when t=0 22.9 19.0 Population (in millions) when t=10 23.7 22.6 (b) Use the models from parts (a) and (b) to predict the population 20 years after the initial census was taken for each country. Round to three decimal places. The predicted population of the Asian country 20 years after the initial census would be approximately million. The predicted population of the South Pacific country 20 years after the initial census would be approximately million. P(t)=Pekt P(t) = P(t) = (c) The South Pacific country had fewer people than the Asian country in the initial census, yet from the result of part (c), the South Pacific country will have more people 20 years later. Why? The South Pacific country will have more people than the Asian country in 20 years because the (Choose one) ▼ is (Choose one) for the South Pacific country than for the Asian country. growth rate initial population X (d) Assuming that the population growth trend continues in each country, use the models from parts (a) and (b) to predict the number of years for the population to reach 30 million in each country. Round to the nearest year. If this trend continues, the Asian country's population will reach 30 million in years. If this trend continues, the South Pacific country's population will reach 30 million in X years. S X
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