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In the model (R(t)=r-7t), (R(3)=112) and (R(s)=63). What is (s)?

Answer and explanation

Correct answer: \(10\)

Given \(R(t)=r-7t\), substitute \(R(3)=112\): \(r-7(3)=112\), so \(r=133\). Next, \(R(s)=63\) gives \(133-7s=63\), hence \(7s=70\) and \(s=10\). If \(s=9\), the model gives \(70\), not \(63\). Exam tip: first find the constant \(r\) using the known time, then use the second condition to solve for the variable.

Related tags

Linear ModelLinear DecayPolynomialsSubstitutionSolving EquationsLinear Growth And DecayIntroduction To PolynomialsMathematics

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