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When \(x\) increases by equal intervals, which of the following polynomials represents linear decay of a quantity?

Answer and explanation

Correct answer: \(12-3x\)

\(12-3x\) is a first-degree polynomial with coefficient \(-3\) of \(x\). Thus, the quantity decreases by 3 for every increase of 1 in \(x\). \(12-3x^2\) is not linear because its rate changes. Exam tip: linear decay has a negative coefficient of \(x\).

Related tags

PolynomialsLinear DecayLinear GrowthFirst Degree PolynomialCoefficientClass 9 MathematicsLinear Growth And DecayIntroduction To Polynomials

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