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In the model (R(t)=r-5t), (R(4)=90) and (R(s)=55). What is (s)?

Answer and explanation

Correct answer: \(11\)

Given \(R(t)=r-5t\), substitute \(t=4\) and \(R(4)=90\): \(r-5(4)=90\), so \(r=110\). Next, \(R(s)=55\) gives \(110-5s=55\). Hence \(5s=55\) and \(s=11\). Therefore, \(11\) is correct. If \(s=10\), the model gives 60, not 55. Exam tip: first use the known time-value pair to find the constant \(r\), then use the second value to find the unknown time.

Related tags

Linear FunctionLinear DecaySubstitutionSolving EquationsPolynomialsLinear Growth And DecayIntroduction To PolynomialsMathematics

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