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Question

Number of Cases Ordered Number of Rolls of Paper Towels
1 12
3 36
5 60
10 120
A restaurant is placing an order for paper towels. The data table shows the amount of paper towel rolls compared to the number of cases. At which ratio in the data table does the constant of proportionality appear? Write your answer as an ordered pair inside the parentheses provided.

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Remaining Attempts : 3
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Answer 1

To find the constant of proportionality in the data table, we need to calculate the ratio of the number of rolls of paper towels to the number of cases ordered.

We can choose any entry from the table for this calculation. Let's take the first entry:

• For 1 case: 12 rolls of paper towels
  • The ratio is \( \frac{12 \text{ rolls}}{1 \text{ case}} = 12 \).

We can check if this ratio holds for other entries:

• For 3 cases: 36 rolls of paper towels

  • The ratio is \( \frac{36 \text{ rolls}}{3 \text{ cases}} = 12 \).

• For 5 cases: 60 rolls of paper towels

  • The ratio is \( \frac{60 \text{ rolls}}{5 \text{ cases}} = 12 \).

• For 10 cases: 120 rolls of paper towels

  • The ratio is \( \frac{120 \text{ rolls}}{10 \text{ cases}} = 12 \).

The constant of proportionality is 12, and we can express this as the ordered pair (1, 12).

Thus, the answer is:

(1, 12)