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If (K(t)=150-6t), what is (K(t)-K(4t))?

Answer and explanation

Correct answer: \(18t\)

Given \(K(t)=150-6t\). Substituting \(4t\) for \(t\), we get \(K(4t)=150-6(4t)=150-24t\). Therefore, \(K(t)-K(4t)=(150-6t)-(150-24t)=150-6t-150+24t=18t\). Hence, \(18t\) is correct. \(24t\) is only the coefficient term in \(K(4t)\), not the value of the difference. Exam tip: when removing brackets after a minus sign, change the sign of every term inside the bracket.

Related tags

PolynomialsLinear FunctionsSubstitutionAlgebraic SimplificationLinear DecayLinear Growth And DecayIntroduction To PolynomialsMathematics

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