In 1950, there were 234,440 immigrants admitted to a country. In 2004, the numbe
ID: 3123321 • Letter: I
Question
In
1950,
there were
234,440
immigrants admitted to a country. In 2004,
the number was
1,091,304.
a. Assuming that the change in immigration is linear, write an equation expressing the number of immigrants, y, in terms of t, the number of years after 1900.
b. Use your result in part a to predict the number of immigrants admitted to the country in
2018.
c. Considering the value of the y-intercept in your answer to part a,
discuss the validity of using this equation to model the number of immigrants throughout the entire 20th century.
Explanation / Answer
year 1950, pop = 234440 and t = 50 as 1900 is base year
year 2004 , pop = 1,091,304 and t = 104
a) (1,091,304 - 234440 )/ ( y- 234440 ) = (104-50)/(t - 50) => 856864 / ( y - 234440) = 54/ (t-50)
=> 54 y - 12659760 = 856864t - 42,843200 =>
54y = 856864t - 30183440
b) in 2018, t =118
54y = 856864t - 30183440
Put t = 118
y = 1313454
c) at t=0 y= - 558952 (which is not possible as population cannot be negative)
So it will not really give a valid result about the no. of immigrants in 20th century