SAT Math Multiple Choice Question 271: Answer and Explanation

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Question: 271

1. Tread depth is a measurement between the top of the rubber on a tire and the bottom of its deepest groove. The average tread depth on a new standard tire is inches. In most states, a tire is considered legally worn out, and therefore unsafe, when the tread depth reaches inches. Which inequality represents the range of safe tread depths d for a standard car tire?

  • A.
  • B.
  • C.
  • D.

Correct Answer: C

Explanation:

C

Difficulty: Easy

Category: Heart of Algebra / Inequalities

Strategic Advice: When matching a real-world scenario to an inequality, try writing the inequality in words first, and then translate from English into math.

Getting to the Answer: On a new tire, the tread depth is inches. As the car is driven, the tread wears down, or is less over time, so the depth is always less than or equal to You can express this as which means you can eliminate B and D. For safety reasons, the tread depth must be more than inches. You can express this as Because the answer choices are written with the number first, turn the inequality around-but don't forget to keep the open end of the symbol pointed at d. The result is This means (C) is correct.

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