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In the model (R(t)=r-12t), (R(3)=134) and (R(s)=50). What is (s)?

Answer and explanation

Correct answer: 10

Given \(R(t)=r-12t\), substitute \(t=3\): \(r-12(3)=134\). Thus, \(r-36=134\), so \(r=170\). Now \(R(s)=50\) gives \(170-12s=50\). Hence \(12s=120\), and \(s=10\). If \(s=9\), then \(R(9)=62\), not 50. Exam tip: first find the constant \(r\) from the given value, then use the second condition to solve for the variable.

Related tags

Linear DecayLinear EquationsPolynomial FunctionsSubstitutionAlgebraic ModellingLinear Growth And DecayIntroduction To PolynomialsMathematics

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