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2003 AMC 12B Problem 9

Problem 9 of 25EasierAlgebraGeometry

Let ff be a linear function for which f(6)−f(2)=12.f(6) - f(2) = 12. What is f(12)−f(2)?f(12) - f(2)?

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Solution

The slope of ff is f(6)−f(2)6−2=124=3. \frac{f(6) - f(2)}{6 - 2} = \frac{12}{4} = 3. Therefore f(12)−f(2)=3(12−2)=30. f(12) - f(2) = 3(12 - 2) = 30. Thus, the correct answer is D.

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Concepts: slope · linear equation

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