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When will the two models (A(t)=36+9t) and (B(t)=126-6t) be equal?

Answer and explanation

Correct answer: \(t=6\)

For the models to be equal, set \(36+9t=126-6t\). Moving \(6t\) to the left gives \(15t=90\), so \(t=6\). If \(t=5\) is substituted, the two model values are not equal. Exam tip: to find when two linear models meet, equate their expressions and solve for \(t\).

Related tags

Linear EquationsLinear ModelsGrowth And DecayPolynomialsAlgebraLinear Growth And DecayIntroduction To PolynomialsMathematics

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