# Function

For linear function f(x) = ax + ​​b ‬ is f(14)=179; f(15)=154. Calculate m, if f(m) = 2019 .

Correct result:

m =  -59.6

#### Solution:

$f(x)=ax+b \ \\ a = \dfrac{ 154-179}{ 15-14} = -25 \ \\ b = 179 - -25 \cdot 14 = 529 \ \\ \ \\ m = \dfrac{ 2019 - b}{ a} = -59.6$

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