SOLUTION: the number of legislators has increased approximately linearly from 1137 positions in 2004 to 1265 positions in 2012. Let n be the number of legislators at t years since 2000. Find

Algebra ->  Equations -> SOLUTION: the number of legislators has increased approximately linearly from 1137 positions in 2004 to 1265 positions in 2012. Let n be the number of legislators at t years since 2000. Find      Log On


   

Question 928047: the number of legislators has increased approximately linearly from 1137 positions in 2004 to 1265 positions in 2012. Let n be the number of legislators at t years since 2000. Find an equation of a linear model to describe the data.
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
slope = m = dy/dx
m = (1265 - 1137)/(2012 - 2004)
m = 16
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linear equation for the years 2004 to 2012:
n = 16t + 1137
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n for the year 2000:
n = 16t + 1137
n = 16*(2000-2004) + 1137
n = 16*(-4) + 1137
n = 1073
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answer:
linear equation for the years 2000 to 2012:
n = 16t + 1073
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