SOLUTION: In 1950​, there were 2247,982 immigrants admitted to a country. In 2001​, the number was 1,003,216. a. Assuming that the change in immigration is​ linear, write

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: In 1950​, there were 2247,982 immigrants admitted to a country. In 2001​, the number was 1,003,216. a. Assuming that the change in immigration is​ linear, write       Log On


   



Question 1014428: In 1950​, there were 2247,982 immigrants admitted to a country. In 2001​, the number was 1,003,216.
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.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Use the general point-slope formula
Plot number of immigrants on the vertical axis
Plot time in years on the horizontal axis
-----------------------
(a)
+%28+y+-+1003216+%29+%2F+%28+t+-+51+%29+=+%28+2247982+-+1003216+%29+%2F+%28+0+-+51+%29+
+%28+y+-+1003216+%29+%2F+%28+t+-+51+%29+=+1244766+%2F+%28+-51+%29+
+%28+y+-+1003216+%29+%2F+%28+t+-+51+%29+=+-24407.176+
+y+-+1003216+=+-24407.176%2A%28+t+-+51+%29+
+y+-+1003216+=+-24407.176t+%2B+1244765.9+
+y+=+-24407.176t+%2B+1244765.9+%2B+1003216+
+y+=+-24407.176t+%2B+2247981.9+
-----------------------
(b)
2018 is 68 years after 1950
+y+=+-24407.176t+%2B+2247981.9+
+y+=+-24407.176%2A68+%2B+2247981.9+
+y+=+-1659687.9+%2B+2247981.9+
+y+=+588294+
-------------------
(c)
Is that 20th century or 21st century?
21st makes more sense to me.
2100 would be 150 yrs after 1950
+y+=+-24407.176t+%2B+2247981.9+
+y+=+-24407.176%2A150+%2B+2247981.9+
+y+=+-3661076.4+%2B+2247981.9+
+y+=+-1413094.5+
The population can't be negative, so the
formula doesn't work all the way
to the end of the 21st century