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If (C(x)=140-8x) and (D(x)=100-3x), when will both be equal?

Answer and explanation

Correct answer: \(x=8\)

For the two values to be equal, set \(140-8x=100-3x\). This gives \(40=5x\), so \(x=8\). On checking, \(C(8)=140-64=76\) and \(D(8)=100-24=76\). At \(x=6\), their values are different, so it is not correct. Exam tip: to find where two linear expressions are equal, equate them first and solve for \(x\).

Related tags

Linear EquationsPolynomialsLinear DecayEquality Of ExpressionsAlgebraLinear Growth And DecayIntroduction To PolynomialsMathematics

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