Kaylani used fabric measuring 5 yards in length to make each suit for a men's choir. The relationship between the

Question

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 - 5 x = 6 . What is the best interpretation of 6 in this context?

Accepted Answer

Choice D is correct. It&rsquo;s given that the equation y - 5 x = 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 5 x to both sides of the given equation yields y = 5 x + 6 . Since Kaylani made x suits and used 5 yards of fabric to make each suit, the expression 5 x 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 = 5 x + 6 that Kaylani purchased 5 x 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. Choice A is incorrect. Kaylani made a total of x suits, not 6 suits. Choice B is incorrect. Kaylani purchased a total of y yards of fabric, not a total of 6 yards of fabric. Choice C is incorrect. Kaylani used a total of 5 x yards of fabric to make the suits, not a total of 6 yards of fabric.

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