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Use the table to answer the 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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1 answer

To find the constant of proportionality from the data table, we can determine the ratio of the number of rolls of paper towels to the number of cases ordered.

We can calculate this for each row in the table:

  • For 1 case: \( \frac{12 \text{ rolls}}{1 \text{ case}} = 12 \)
  • For 3 cases: \( \frac{36 \text{ rolls}}{3 \text{ cases}} = 12 \)
  • For 5 cases: \( \frac{60 \text{ rolls}}{5 \text{ cases}} = 12 \)
  • For 10 cases: \( \frac{120 \text{ rolls}}{10 \text{ cases}} = 12 \)

In every case, the ratio is consistently 12. Therefore, the constant of proportionality appears in every ratio, represented as (rolls per case).

You can answer the question as follows:

(12)