Andy C. answered • 05/09/18

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N(t) = M*(X-2000)+B where M is the slope and B is the intercept

42 = N(2010) = M*(2010-2000)+B = 10M + B <--- first equation

218 = N(2013) = M*(2013-2000)+B = 13M + B <--- second equation

Subtracts first equation FROM the second equation

176 = 3M

M = 176/3 = 58 and 2/3 = 58.6

Substitutes into the first equation:

42 = (176/3)(2010-2000) + B

42 = (176/3)(10) + B

42 = 1760/3 + B

B = 42 - 1760/3 = (126 -1760)/3 = -1634/3 = -544 and 2/3 = -544.6

The linear model is:

N(t) = (176/3) * (t - 2000) - 1634/3

Andy C.

05/09/18