(a) Write a function of the form P (t)=Poet 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. Country 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 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.

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Chapter9: Solving Quadratic Functions
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(a) Write a function of the form P (t)=Poet 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.
Country
Part 4 of 4
Asian
South Pacific
Population (in
millions)
when t=0
Part 3 of 4
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
places.
The predicted population of the Asian country 20 years after the initial census would be approximately
P(t)=Poekt
P(t) =
P(t)=
The predicted population of the South Pacific country 20 years after the initial census would be approximately
If this trend continues, the South Pacific country's population will reach 30 million in
(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.
million.
S
years.
million.
(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 count
have more people 20 years later. Why?
The South Pacific country will have more people than the Asian country in 20 years because the initial population ▼ is
greater
for the South Pacific country than for the Asian country.
X
Transcribed Image Text:kt (a) Write a function of the form P (t)=Poet 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. Country Part 4 of 4 Asian South Pacific Population (in millions) when t=0 Part 3 of 4 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 places. The predicted population of the Asian country 20 years after the initial census would be approximately P(t)=Poekt P(t) = P(t)= The predicted population of the South Pacific country 20 years after the initial census would be approximately If this trend continues, the South Pacific country's population will reach 30 million in (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. million. S years. million. (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 count have more people 20 years later. Why? The South Pacific country will have more people than the Asian country in 20 years because the initial population ▼ is greater for the South Pacific country than for the Asian country. X
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