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?
The constant proportionality is the ratio between the number of pages read and the amount of time it takes to read those pages.
In this case, Ruth can read 15 pages in 30 minutes. The ratio between these two quantities is:
15 pages / 30 minutes = 1/2 pages per minute
Therefore, the constant proportionality is 1/2 pages per minute.
To find the ratio of the constant proportionality, we need to divide the number of pages by the amount of time taken.
The number of pages Ruth reads is 15 pages, and the time taken is 30 minutes.
So the ratio of the constant proportionality is:
15 pages / 30 minutes = 1/2 pages per minute
To find the constant proportionality, we need to determine the relationship between the number of pages Ruth can read and the amount of time it takes her.
Given that Ruth can read 15 pages in 30 minutes, we can set up a proportion using these values:
15 pages / 30 minutes = x pages / 1 minute
To find the value of x, we can use cross-multiplication:
15 pages * 1 minute = 30 minutes * x pages
Simplifying this equation:
15 = 30x
Now divide both sides by 30:
15/30 = x
Simplifying further:
0.5 = x
So, the ratio at which the constant proportionality occurs is 0.5 pages per minute.