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The price of an item is (P(n)=a+18n). If (P(5)=170), what is (P(11))?

Answer and explanation

Correct answer: 278

Given \(P(n)=a+18n\), substitute \(P(5)=170\): \(a+18\times5=170\), so \(a=80\). Hence, \(P(11)=80+18\times11=80+198=278\). Therefore, 278 is the correct answer. The value 260 can result from counting the increase incorrectly; from 5 to 11 there are 6 steps, each increasing by 18. Exam tip: first find the constant \(a\) from the given value, then substitute the required \(n\).

Related tags

PolynomialsLinear ExpressionLinear GrowthSubstitutionWord ProblemLinear Growth And DecayIntroduction To PolynomialsMathematics

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