Kaylani used fabric measuring 5 yards in length to make each suit for a men's choir. The relationship between the number of suits that Kaylani made, x, and the total length of fabric that she purchased y, in yards, is represented by the equation y − 5x = 6. What is the best interpretation of 6 in this context?
Correct answer: D. Kaylani purchased 6 yards more fabric than she used to make the suits.
- A. Kaylani made 6 suits.
- B. Kaylani purchased a total of 6 yards of fabric.
- C. Kaylani used a total of 6 yards of fabric to make the suits.
- D. Kaylani purchased 6 yards more fabric than she used to make the suits.
Explanation
Choice D is correct. It's given that the equation y - 5x = 6 represents the relationship between the number of suits that Kaylani made, x, and the total length of fabric she purchased, y, in yards. Adding 5x to both sides of the given equation yields y = 5x + 6. Since Kaylani made x suits and used 5 yards of fabric to make each suit, the expression 5x represents the total amount of fabric she used to make the suits. Since y represents the total length of fabric Kaylani purchased, in yards, it follows from the equation y = 5x + 6 that Kaylani purchased 5x yards of fabric to make the suits, plus an additional 6 yards of fabric. Therefore, the best interpretation of 6 in this context is that Kaylani purchased 6 yards more fabric than she used to make the suits.
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