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When will the two linear models (A(t)=25+6t) and (B(t)=70-3t) be equal?

Answer and explanation

Correct answer: \(t=5\)

For the models to be equal, set \(25+6t=70-3t\). Moving \(3t\) to the left gives \(9t=45\), so \(t=5\). At \(t=4\), the two model values are not equal, making it a close but incorrect option. Exam tip: equate the two expressions first, then collect all variable terms on one side.

Related tags

Linear EquationsLinear ModelsGrowth And DecayPolynomialsAlgebraic ExpressionsLinear Growth And DecayIntroduction To PolynomialsMathematics

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