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If (Z(x)=b-10x) is linear decay and (Z(2)+Z(7)=130), what is (b)?

Answer and explanation

Correct answer: 110

Given \(Z(x)=b-10x\), we get \(Z(2)=b-20\) and \(Z(7)=b-70\). Hence, \(Z(2)+Z(7)=2b-90=130\). Therefore, \(2b=220\) and \(b=110\). If 105 were used, the sum would be 120, so it is not correct. Exam tip: substitute each given input into the polynomial separately before adding the results.

Related tags

Linear PolynomialLinear DecaySubstitutionParameter ValueAlgebraic EquationsLinear Growth And DecayIntroduction To PolynomialsMathematics

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