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In the model (P(t)=p+9t), (P(3)=82) and (P(s)=136). What is (s)?

Answer and explanation

Correct answer: 9

Given P(t)=p+9t, we have P(3)=p+9(3)=82. Thus p+27=82, so p=55. Now P(s)=55+9s=136, which gives 9s=81 and hence s=9. If 8 were used, the value would be 127, not 136. Exam tip: first find the constant term p from the known input-output pair, then substitute it into the second condition.

Related tags

Linear PolynomialLinear GrowthSolving EquationsSubstitutionClass 9 MathematicsLinear Growth And DecayIntroduction To PolynomialsMathematics

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