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If (K(t)=350-10t), what is (K(3t)-K(7t))?

Answer and explanation

Correct answer: \(40t\)

Given \(K(t)=350-10t\), we get \(K(3t)=350-10(3t)=350-30t\) and \(K(7t)=350-10(7t)=350-70t\). Therefore, \(K(3t)-K(7t)=(350-30t)-(350-70t)=40t\). The term \(70t\) occurs in \(K(7t)\), but it is not the difference between the two function values. Exam tip: when the input is \(3t\) or \(7t\), substitute the complete input in place of \(t\).

Related tags

PolynomialsLinear FunctionFunction SubstitutionAlgebraic SimplificationLinear DecayLinear Growth And DecayIntroduction To PolynomialsMathematics

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