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Which option makes (y) increase by (8) per step and has (y(3)=50)?

Answer and explanation

Correct answer: \(y=26+8x\)

An increase of 8 per step requires a linear expression with slope 8, so \(y=a+8x\). Using \(y(3)=50\) gives \(a+8(3)=50\), hence \(a=26\). Therefore, \(y=26+8x\) is correct. Although \(y=74-8x\) gives \(y(3)=50\), its slope is \(-8\), so it represents decay rather than growth. Exam tip: check both the slope and the given point.

Related tags

Linear EquationsLinear GrowthSlopeSubstitutionFunction EvaluationLinear Growth And DecayIntroduction To PolynomialsMathematics

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