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If (K(t)=210-7t), what is (K(2t)-K(5t))?

Answer and explanation

Correct answer: \(21t\)

Given \(K(t)=210-7t\), \(K(2t)=210-7(2t)=210-14t\) and \(K(5t)=210-7(5t)=210-35t\). Therefore, \(K(2t)-K(5t)=(210-14t)-(210-35t)=21t\). \(35t\) is only the term subtracted in \(K(5t)\), not the difference between the two function values. Exam tip: evaluate each input separately and retain brackets while subtracting.

Related tags

PolynomialsLinear FunctionSubstitutionAlgebraic SimplificationFunction EvaluationLinear Growth And DecayIntroduction To PolynomialsMathematics

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