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When will the two models (A(t)=48+11t) and (B(t)=168-4t) be equal?

Answer and explanation

Correct answer: \(t=8\)

For the models to be equal, set \(48+11t=168-4t\). Moving \(4t\) to the left and 48 to the right gives \(15t=120\), so \(t=8\). \(t=7\) is the closest option, but the two model values are not equal at that time. Exam tip: after equating linear models, collect all terms containing \(t\) on one side.

Related tags

Linear EquationsLinear ModelsGrowth And DecayPolynomialsAlgebraLinear Growth And DecayIntroduction To PolynomialsMathematics

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