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The price of an item is (P(n)=a+20n). If (P(6)=230), what is (P(13))?

Answer and explanation

Correct answer: 370

The price increases by 20 for every increase of 1 in \(n\). From 6 to 13, there are 7 steps, so the increase is \(7\times20=140\). Therefore, \(P(13)=230+140=370\). Option 350 can result from incorrectly using 6 steps instead of 7. Exam tip: for a linear function, use \(P(13)-P(6)=20(13-6)\) to find the change quickly.

Related tags

Linear FunctionsPolynomialsLinear GrowthSubstitutionMathematicsLinear Growth And DecayIntroduction To PolynomialsClass 9 Mcq

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