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In the model (P(t)=p+8t), (P(4)=70) and (P(s)=118). What is (s)?

Answer and explanation

Correct answer: 10

Given \(P(t)=p+8t\), substitute \(t=4\): \(p+8\times4=70\), so \(p=38\). Next, \(P(s)=118\) gives \(38+8s=118\). Thus \(8s=80\), hence \(s=10\). For example, using 9 gives 110, not 118. Exam tip: find the constant \(p\) from the first condition before using the second condition.

Related tags

Linear GrowthLinear EquationsPolynomialsSubstitutionLinear Growth And DecayIntroduction To PolynomialsMathematicsClass 9 Mcq

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