Ruth can read 15 pages in 30 minutes. She decides to create a table to keep track of her progress. From the data provided, at what ratio is the constant proportionality?

15,1/2

1 1/2, 30

2, 60

1, 30

The ratio is 1:30.

To find the ratio of the constant proportionality, we can compare the number of pages read and the amount of time it takes to read them.

In this case, Ruth can read 15 pages in 30 minutes. So we can set up the following ratio:

Pages read / Time taken = 15 / 30

Simplifying the ratio, we get:

1 / 2

Therefore, the ratio of the constant proportionality is 1:2.

To determine the ratio of the constant proportionality, we need to find the relationship between the number of pages read and the time taken.

In this case, Ruth can read 15 pages in 30 minutes. So, let's examine the given data:

Number of pages read: 15
Time taken: 30 minutes

Now, let's look for a pattern based on the given data:

15 pages read in 30 minutes
30 pages read in 60 minutes

From the given data, we can see that if Ruth doubles the amount of time, the number of pages read also doubles. This indicates that the ratio of the constant proportionality is 2.

Therefore, at the given ratio, the constant proportionality is 2.