Function

For a linear function f(x) = ax + b, it is given that f(19)=141; f(20)=168. Calculate m if f(m) = 2018.

Final Answer:

m =  88.52

Step-by-step explanation:

A=(19,141) B=(20,168) f(x)=ax​+b  Ay​=a⋅ Ax​+b By​=a⋅ Bx​+b 141=a⋅ 19+b 168=a⋅ 20+b  19a+b=141 20a+b=168  Pivot:Row1↔Row2  Row2−2019​⋅ Row1→Row2 0.05b=−18.6  b=0.05−18.6​=−372 a=20168−b​=20168+372​=27  a=27 b=−372  f(m) = 2018 a⋅ m+b = 2018  m=a2018−b​=272018−(−372)​=88.52

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