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If (N(t)=n-3t) and (N(4)=28), what will (N(9)) be?

Answer and explanation

Correct answer: 13

Given \(N(t)=n-3t\). Substituting \(t=4\), \(N(4)=n-12=28\), so \(n=40\). Now, for \(t=9\), \(N(9)=40-3\times9=40-27=13\). Hence, 13 is correct. A value such as 16 can result from using the rate of decrease or the time value incorrectly. Exam tip: first use the given condition to find the unknown constant \(n\), then substitute the required value of \(t\).

Related tags

Linear FunctionLinear DecaySubstitutionAlgebraic ExpressionsPolynomialsLinear Growth And DecayIntroduction To PolynomialsMathematics

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