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If (y=30+kx) and (y=54) at (x=4), what is (k)?

Answer and explanation

Correct answer: \(6\)

Given \(y=30+kx\), substitute \(x=4\) and \(y=54\): \(54=30+4k\). Thus, \(4k=24\), so \(k=6\). Option \(24\) is the value of \(4k\), not of \(k\). Exam tip: To find an unknown coefficient in a linear expression, substitute the given values of \(x\) and \(y\) first.

Related tags

Linear EquationsPolynomialsCoefficientSubstitutionLinear GrowthLinear Growth And DecayIntroduction To PolynomialsMathematics

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