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.

(1 point) .

Answer 1

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

From the table, let's calculate the ratio for each ordered pair:

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

The constant of proportionality is 12 for all ordered pairs.

Thus, the constant of proportionality appears in every ratio. The ordered pair representing the first data point is (1, 12), which is one instance of this constant of proportionality.

So the answer is: (1, 12)