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A machine's value is (V(y)=c-1500y). If (V(2)=27000), what will (V(7)) be?

Answer and explanation

Correct answer: 19500

Given \(V(y)=c-1500y\). Substituting \(V(2)=27000\) gives \(c-1500(2)=27000\), so \(c-3000=27000\) and hence \(c=30000\). Now, \(V(7)=30000-1500(7)=30000-10500=19500\). Therefore, 19500 is the correct answer. 18000 would result from an incorrect depreciation calculation. Exam tip: first find \(c\) from the given value, then substitute the required value of \(y\).

Related tags

Linear PolynomialDepreciationSubstitutionValue FunctionAlgebraic ExpressionsLinear Growth And DecayIntroduction To PolynomialsMathematics

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