Question

Assume that in one country in 2005, 12.4 % of the population was 65 or older. By 2050, this percent is expected to be 20.815%. The percent of the population ages 25-34 in 2005 was 13.9%. That age group is expected to include 13.1035% 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=0 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.)

Answer 1

9) for for population 25-34 m population 65 yrs or older X20 x-o 13.9 12:4 X-45, y = 13.1035 OC = 45, y = 20.815 form of linear etration using two point 13-1035 - 13.9 y - 12:42 20.815-12-4 (x-0) y -13.9 = (x-o) 45-0. 45-0 y -13.9 = 0.187 x -0.0177 " y-12.4 = =) Y- 13.9 -0.0177 X ya 0:187 + 12,4 10 for being the same percent 0:187 x + 12.4 13.9 -0.01976 > 0.1872 +0.0177 x 13.9 -12.4 ) 2 7.327 7 Hence, include the percent of samo The age groups population in the Year 11 2005+7 2012 percut the 13.9 -12,4 is ya 0.187 + 12.4 0:187 +0.0177 13.7702 The bercent is 13.8.). २२