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In the model (P(t)=p+6t), (P(3)=50) and (P(s)=80). What is (s)?

Answer and explanation

Correct answer: 8

Given P(t)=p+6t, substitute P(3)=50 first: p+18=50, so p=32. Now use P(s)=80: 32+6s=80, giving 6s=48 and s=8. If s were 7, then P(7)=32+42=74, not 80. Exam tip: find the unknown constant p from one condition before using the second condition.

Related tags

Linear GrowthLinear EquationPolynomialsSubstitutionSolve For VariableLinear Growth And DecayIntroduction To PolynomialsMathematics

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