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If (Y(x)=a+10x) is linear growth and (Y(5)+Y(11)=250), what is (a)?

Answer and explanation

Correct answer: 45

Given \(Y(x)=a+10x\), we get \(Y(5)=a+50\) and \(Y(11)=a+110\). Hence, \(Y(5)+Y(11)=2a+160=250\). Therefore, \(2a=90\), so \(a=45\). If 55 were used, the sum would be 270, not 250. Exam tip: Substitute each given \(x\)-value separately before adding the results.

Related tags

Linear FunctionLinear GrowthPolynomialsParameter EvaluationAlgebraic EquationsLinear Growth And DecayIntroduction To PolynomialsMathematics

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