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# Answer Explanations for: SAT October 2011

This document contains detailed answer explanations to every question from the October 1, 2011 SAT, Form Codes AEHE, BWHE. Many Mathematics and Writing explanations also link to content pages that explain the relevant grammatical and mathematical concepts in greater detail. Please note that this document contains the explanations only, and does not provide the test questions themselves; it is a tool intended for use with a copy of your test that you purchased from the College Board via the Question and Answer Service (QAS). The following are sample explanations:

Section 2: Mathematics
5) C) Multiply the number of inches dispensed each time by how many times the sensor is triggered: 6 • n = 6n. Another way of thinking about this situation is that it is a linear function with a slope of 6 and a y-intercept of zero. When modeling a linear situation, the y-intercept (b in y = mx + b) is equal to the fixed amount and the slope (m in y = mx + b) is equal to the variable or “per something” amount. In this case, the fixed amount (the y-intercept) is equal to zero since zero inches of paper towel are dispensed if the sensor is never triggered. d(n) is simply function notation for d as a function of n. In function notation, d(n) represents the y-value. See equation building and function notation.