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Test
Math
Domain
Algebra
Skill
Linear equations in one variable
Difficulty
Medium
ID: aa85b138
Modded SAT Question Bank by Abdullah Mallik

2 n plus 6, equals 14

A tree had a height of 6 feet when it was planted. The equation above can be used to find how many years n it took the tree to reach a height of 14 feet. Which of the following is the best interpretation of the number 2 in this context?

  1. The number of years it took the tree to double its height

  2. The average number of feet that the tree grew per year

  3. The height, in feet, of the tree when the tree was 1 year old

  4. The average number of years it takes similar trees to grow 14 feet

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Correct Answer: B
Rationale

Choice B is correct. The height of the tree at a given time is equal to its height when it was planted plus the number of feet that the tree grew. In the given equation, 14 represents the height of the tree at the given time, and 6 represents the height of the tree when it was planted. It follows that 2 n represents the number of feet the tree grew from the time it was planted until the time it reached a height of 14 feet. Since n represents the number of years between the given time and the time the tree was planted, 2 must represent the average number of feet the tree grew each year.

Choice A is incorrect and may result from interpreting the coefficient 2 as doubling instead of as increasing by 2 each year. Choice C is incorrect. The height of the tree when it was 1 year old was 2 times 1, plus 6, equals 8 feet, not 2 feet. Choice D is incorrect. No information is given to connect the growth of one particular tree to the growth of similar trees.

 

Question Difficulty: Medium
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