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Can you complete the patterns for the cost of 0, 1, 2, 3, and 4 pieces of jewelry in the first two columns, write the ordered pairs for the corresponding terms in the third column, and then graph the ordered pairs for bracelets and necklaces, considering that bracelets cost $3 and necklaces cost $6 at a community fundraiser event?

User Yueyanw
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Final Answer:

The ordered pairs for the cost of jewelry, considering bracelets at $3 and necklaces at $6, are as follows:

- For 0 pieces: (0, 0)

- For 1 piece: (3, 6)

- For 2 pieces: (6, 12)

- For 3 pieces: (9, 18)

- For 4 pieces: (12, 24)

Step-by-step explanation:

In this scenario, the cost of bracelets is $3, and necklaces cost $6. To determine the cost for a given number of pieces, we can use the following relationship:

- Cost of bracelets (B) = 3 * Number of bracelets (n)

- Cost of necklaces (N) = 6 * Number of necklaces (m)

Now, let's create ordered pairs for the given values:

- For 0 pieces: (0, 0) - This represents the starting point where no bracelets or necklaces are purchased, resulting in zero cost.

- For 1 piece: (3, 6) - When one bracelet is purchased, the cost is $3, and when one necklace is purchased, the cost is $6.

- For 2 pieces: (6, 12) - If two bracelets are bought, the cost is 2 * $3 = $6, and if two necklaces are bought, the cost is 2 * $6 = $12.

- For 3 pieces: (9, 18) - Similarly, the cost for three bracelets is 3 * $3 = $9, and for three necklaces, it's 3 * $6 = $18.

- For 4 pieces: (12, 24) - When four bracelets are purchased, the cost is 4 * $3 = $12, and for four necklaces, the cost is 4 * $6 = $24.

By graphing these ordered pairs, you would observe a linear relationship between the number of pieces and the cost, with the slope being the cost per item for each type of jewelry.

User Ytw
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