2003 AMC 12B Problem 9 — Solution | LIVE by Po-Shen Loh

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2003 AMC 12B Problem 9

Attempt Problem 9 of the 2003 AMC 12B below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2003 AMC 12B solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

9.

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

$12$

$18$

$24$

$30$

$36$

Answer: D

Concepts:slope linear equation

Difficulty rating: 1040

Solution:

The slope of $f$ is $\frac{f(6) - f(2)}{6 - 2} = \frac{12}{4} = 3.$

Therefore $f(12) - f(2) = 3(12 - 2) = 30.$

Thus, the correct answer is D.

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