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If (M(t)=m+8t) and (M(2)=44), what will (M(7)) be?

Answer and explanation

Correct answer: 84

Given \(M(t)=m+8t\). Substituting \(t=2\), \(M(2)=m+16=44\), so \(m=28\). Now, at \(t=7\), \(M(7)=28+8\times7=28+56=84\). Therefore, 84 is the correct answer. The value 76 can result from incorrectly counting the increase. Exam tip: first use the given condition to find the unknown constant \(m\), then substitute the required value of \(t\).

Related tags

Linear FunctionLinear GrowthPolynomialsSubstitutionAlgebraic ExpressionsLinear Growth And DecayIntroduction To PolynomialsMathematics

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