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If in (y=90+ax), (y) increases by (63) from (x=5) to (x=12), what is (a)?

Answer and explanation

Correct answer: 9

The change in x is 12 - 5 = 7. In the linear expression y = 90 + ax, the change in y is aΔx. Hence, 7a = 63, so a = 9. The constant term 90 does not affect the change in y. Exam tip: First find Δx, then use Δy = aΔx in such questions.

Related tags

Linear EquationsRate Of ChangeSlopePolynomialsAlgebraLinear Growth And DecayIntroduction To PolynomialsMathematics

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