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If (A(t)=280-13t) and (B(t)=65+5t), when will (A(t)) be (17) more than (B(t))?

Answer and explanation

Correct answer: \(t=11\)

“17 more” means \(A(t)=B(t)+17\). Therefore, \(280-13t=65+5t+17\), which gives \(198=18t\) and hence \(t=11\). Substituting \(t=10\) gives a difference of 35, not 17. Exam tip: In “more than” questions, first write the difference between the two quantities.

Related tags

Linear EquationsPolynomialsLinear Growth And DecayComparison Of FunctionsAlgebraic ExpressionsIntroduction To PolynomialsMathematicsClass 9 Mcq

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