Assume that in one country in 2005, 12.5 % of the population was 65 or older. By 2050, this percent is expected to be 21.05%. The percent of the population ages 25-34 in 2005 was 13.9%. That age group is expected to include 13.1215% of the population in 2050 a. Assuming these population changes are linear, use the data for the 65 or over age group to write a linear equation. Then do the same for the 25-34 age group. Let x 0 represent 2005 and x= 45 represent 2050. Express percents in decimal form. For the population of 65 or older the equation is y = For the population of 25-34 years the equation is y b. Solve the system of linear equations from part (a). In what year will the two age groups include the same percent of the population? What is that percent? The age groups include the same percent of population in the year (Do not round until the final answer. Then round to the nearest year as needed.) The percent is (Do not round until the final answer. Then round to the nearest tenth as needed.)

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Assume that in one country in​ 2005,
12.5% of the population was 65 or older. By​ 2050, this percent is expected to be 21.05%.
The percent of the population ages​ 25-34 in 2005 was 13.9%. That age group is expected to include 13.1215% of the population in 2050.
 
A.) Assuming these population changes are​ linear, use the data for the 65 or over age group to write a linear equation. Then do the same for the​ 25-34 age group. Let x=0
represent 2005 and x=45 represent 2050. Express percents in decimal form.
 
A1.) For the population of 65 or older the equation is y=________.
 
A2.) For the population of​ 25-34 years the equation is y=________.
 
B.) Solve the system of linear equations from part​ (a). In what year will the two age groups include the same percent of the​ population? What is that​ percent?
 
B1.) The age groups include the same percent of population in the year_______.
​(Do not round until the final answer. Then round to the nearest year as​ needed.)

B2.) The percent is_______%.
​(Do not round until the final answer. Then round to the nearest tenth as​ needed.)
Assume that in one country in 2005, 12.5 % of the population was 65 or older. By 2050, this percent is expected to be 21.05%. The percent of the population ages
25-34 in 2005 was 13.9%. That age group is expected to include 13.1215% of the population in 2050
a. Assuming these population changes are linear, use the data for the 65 or over age group to write a linear equation. Then do the same for the 25-34 age group.
Let x 0 represent 2005 and x= 45 represent 2050. Express percents in decimal form.
For the population of 65 or older the equation is y =
For the population of 25-34 years the equation is y
b. Solve the system of linear equations from part (a). In what year will the two age groups include the same percent of the population? What is that percent?
The age groups include the same percent of population in the year
(Do not round until the final answer. Then round to the nearest year as needed.)
The percent is
(Do not round until the final answer. Then round to the nearest tenth as needed.)
Transcribed Image Text:Assume that in one country in 2005, 12.5 % of the population was 65 or older. By 2050, this percent is expected to be 21.05%. The percent of the population ages 25-34 in 2005 was 13.9%. That age group is expected to include 13.1215% of the population in 2050 a. Assuming these population changes are linear, use the data for the 65 or over age group to write a linear equation. Then do the same for the 25-34 age group. Let x 0 represent 2005 and x= 45 represent 2050. Express percents in decimal form. For the population of 65 or older the equation is y = For the population of 25-34 years the equation is y b. Solve the system of linear equations from part (a). In what year will the two age groups include the same percent of the population? What is that percent? The age groups include the same percent of population in the year (Do not round until the final answer. Then round to the nearest year as needed.) The percent is (Do not round until the final answer. Then round to the nearest tenth as needed.)
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