SAT Math Multiple Choice Question 455: Answer and Explanation

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Test Information

Question: 455

Bargain High-End
Price (per sq. ft) $1.89 $5.49
Rating 2.8 8.2
Life Expectancy 5 years

5. The table above shows the price per square foot, the average customer rating (out of 10), and the life expectancy (before needing replacement) of the bargain version and the high-end version of carpet at a flooring warehouse. If the ratio of the life expectancies is roughly the same as the ratios of the prices and the ratings, about how many years can the high-end carpet be expected to last?

  • A. 10
  • B. 12
  • C. 15
  • D. 18

Correct Answer: C

Explanation:

C

Difficulty: Easy

Category: Problem Solving and Data Analysis / Rates, Ratios, Proportions, and Percentages

Strategic Advice: Find the ratios of the first two categories and then apply either one to the third.

Getting to the Answer: Write out the ratios of the prices and the ratings: 1.89 to 5.49 and 2.8 to 8.2.

Set up a proportion with the life expectancy and either ratio. Let e be the unknown life expectancy of the high-end carpet.

You can check your answer using the other ratio:

The high-end carpeting can be expected to last about 15 years.

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