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When will the two models (A(t)=45+8t) and (B(t)=129-4t) be equal?

Answer and explanation

Correct answer: \(t=7\)

For the models to be equal, set \(45+8t=129-4t\). Moving \(4t\) to the left and \(45\) to the right gives \(12t=84\). Hence, \(t=7\), so option C is correct. \(t=6\) is the nearest distractor, but the two model values are not equal at that time. Exam tip: Equate the two expressions and collect all variable terms on one side.

Related tags

Linear EquationsLinear ModelsGrowth And DecayPolynomialsAlgebraic ExpressionsLinear Growth And DecayIntroduction To PolynomialsMathematics

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