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A machine's value is (V(y)=c-1800y). If (V(3)=24600), what will (V(8)) be?

Answer and explanation

Correct answer: 15600

Given V(y)=c-1800y, substitute V(3)=24600: c-1800(3)=24600, so c-5400=24600 and c=30000. Now, V(8)=30000-1800(8)=30000-14400=15600. Therefore, 15600 is correct. The value 17400 would correspond to 7 years, not 8 years. Exam tip: first find the unknown constant c from the given value, then substitute the required value of y.

Related tags

Linear DecayMachine DepreciationLinear PolynomialSubstitutionValue FunctionLinear Growth And DecayIntroduction To PolynomialsMathematics

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