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If (A(t)=12+3t) and (B(t)=18+2t), at what (t) will (A(t)) be (4) more than (B(t))?

Answer and explanation

Correct answer: \(t=10\)

“\(A(t)\) is 4 more than \(B(t)\)” means \(A(t)=B(t)+4\). Thus, \(12+3t=18+2t+4\), which gives \(t=10\). Checking: \(A(10)=42\) and \(B(10)=38\), so the difference is 4. At \(t=9\), the difference is only 3. Exam tip: For “more than” questions, first write the difference as \(A(t)-B(t)\).

Related tags

Linear EquationsPolynomialsLinear GrowthFunction ComparisonAlgebraic ExpressionsLinear Growth And DecayIntroduction To PolynomialsMathematics

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