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If (K(t)=280-8t), what is (K(2t)-K(6t))?

Answer and explanation

Correct answer: \(32t\)

Given \(K(t)=280-8t\), we get \(K(2t)=280-8(2t)=280-16t\) and \(K(6t)=280-8(6t)=280-48t\). Therefore, \(K(2t)-K(6t)=(280-16t)-(280-48t)=32t\). \(48t\) is only the magnitude of the linear term in \(K(6t)\), not the difference between the two function values. Exam tip: when substituting \(2t\) or \(6t\), replace every occurrence of \(t\) by the complete expression.

Related tags

Linear FunctionsSubstitutionAlgebraic SimplificationPolynomial EvaluationLinear DecayLinear Growth And DecayIntroduction To PolynomialsMathematics

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