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If (G(t)=220-rt) and (G(4)=G(13)+99), what is (r)?

Answer and explanation

Correct answer: \(11\)

Given \(G(t)=220-rt\), we have \(G(4)=220-4r\) and \(G(13)=220-13r\). Hence, \(G(4)-G(13)=9r\). The condition \(G(4)=G(13)+99\) gives \(G(4)-G(13)=99\), so \(9r=99\) and \(r=11\). Option \(10\) is close, but it would give a difference of \(9\times10=90\), not 99. Exam tip: when subtracting values of a linear function, the constant term cancels out.

Related tags

Linear FunctionRate Of ChangePolynomial EvaluationAlgebraic EquationsLinear DecayLinear Growth And DecayIntroduction To PolynomialsMathematics

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