A restaurant is placing an order for paper towels. The dats table shows the amount of paper towels compared to the number of cases. At which ratio in the data table does the constant proportionality appear?

Without the specific data table, it is not possible to determine at which ratio the constant proportionality appears. The concept of constant proportionality means that one quantity is always a fixed multiple of another quantity. Therefore, it would require a comparison of multiple pairs of numbers in the data table to identify the consistent multiple or ratio.

To identify the constant proportionality in the data table, we need to analyze the ratios and look for a consistent value.

Could you please provide the data table you mentioned?

To identify the ratio in the data table where the constant proportionality appears, we need to examine the relationship between the number of paper towels and the number of cases.

To do this, we can look at the data table and calculate the ratio between the number of paper towels and the corresponding number of cases for each entry. The constant proportionality will be evident when the ratios remain the same for all the data points.

Here's how you can find the ratio and determine the constant proportionality:

1. Look at the data table and identify the number of paper towels and the number of cases in each row or entry.
2. Calculate the ratio between the number of paper towels and the number of cases for each entry. To do this, divide the number of paper towels by the number of cases.
3. Compare the ratios for each entry. If the ratios are equal for all the entries, then the constant proportionality appears. If the ratios differ, then the constant proportionality does not exist in the data table.

By examining the ratios calculated for each entry in the data table, you can determine at which ratio the constant proportionality appears.