SOLUTION: From the 1980 to 2010, the rate of increase in population has shown a linearly increased. In 1980, it is approximately 11 %. In 2010, the rate of increase had risen to 17%. Write

Algebra ->  Coordinate-system -> SOLUTION: From the 1980 to 2010, the rate of increase in population has shown a linearly increased. In 1980, it is approximately 11 %. In 2010, the rate of increase had risen to 17%. Write      Log On


   



Question 1156469: From the 1980 to 2010, the rate of increase in population has shown a linearly increased. In
1980, it is approximately 11 %. In 2010, the rate of increase had risen to 17%. Write a linear
model that would model these data where t = time in years after 1980 and R is the rate of
population increase as a percentage

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+2010+-+1980+=+30+
You have 2 points:
( 0, 11 )
( 30, 17 )
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Use the general point-slope formula
+%28+R+-+11+%29+%2F+%28+t+-+0+%29+=+%28+17+-+11+%29+%2F+%28+30+-+0+%29+
+%28+R+-+11+%29+%2F+t+=+6+%2F+30+
+%28+R+-+11+%29+%2F+t+=+1+%2F+5+
+R+-+11+=+%28+1%2F5+%29%2At+
+R+=+%28+1%2F5+%29%2At+%2B+11+
-----------------------------
check:
( 30, 17 )
+17+=+%28+1%2F5+%29%2A30+%2B+11+
+17+=+6+%2B+11+
+17+=+17+
OK