Use the table to answer the question

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.

Answer 1

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

Here’s the data from 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: \( \frac{120 \text{ rolls}}{10 \text{ cases}} = 12 \)

The constant of proportionality is consistently 12 for all data points.

The ordered pair corresponding to the ratio of cases to rolls from the data table would be: \[ (1, 12) \]

So, the answer is (1, 12).