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If (g(t)=b-7t) and the sum of (g(4), g(8), g(12)) is (258), what is (b)?

Answer and explanation

Correct answer: 142

Given \(g(t)=b-7t\), we get \(g(4)=b-28\), \(g(8)=b-56\), and \(g(12)=b-84\). Their sum is \(3b-(28+56+84)=3b-168\). Hence, \(3b-168=258\), so \(3b=426\) and \(b=142\). If 138 were used, the sum would be 246, not 258. Exam tip: First write the function value for each given input, then combine like terms carefully.

Related tags

Linear FunctionPolynomialSubstitutionAlgebraic EquationsFunction ValuesLinear Growth And DecayIntroduction To PolynomialsMathematics

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