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If (T(t)=42+3t), when will (T(t)=72)?

Answer and explanation

Correct answer: \(t=10\)

Given \(T(t)=42+3t\), set the target value equal to 72: \(42+3t=72\). Thus, \(3t=30\), so \(t=10\). Therefore, \(t=10\) is correct. The closest distractor, \(t=9\), gives \(T(9)=42+27=69\), not 72. Exam tip: Substitute the required output value into the function and solve the resulting linear equation.

Related tags

Linear GrowthLinear EquationsPolynomialsSubstitutionAlgebraic ExpressionsLinear Growth And DecayIntroduction To PolynomialsMathematics

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