SOLUTION: the number of legislators has increased approximately linearly from 1131 positions in 2002 to 1257 positions in 2009. 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 1131 positions in 2002 to 1257 positions in 2009. Let n be the number of legislators at t years since 2000. Find      Log On


   

Question 928045: the number of legislators has increased approximately linearly from 1131 positions in 2002 to 1257 positions in 2009. 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 = (1257 - 1131)/(2009 - 2002)
m = 18
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linear equation for the years 2002 to 2009:
n = 18t + 1131
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n for the year 2000:
n = 18t + 1131
n = 18*(2000-2002) + 1131
n = 18*(-2) + 1131
n = 1095
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answer:
linear equation for the years 2000 to 2009:
n = 18t + 1095
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