ruth can read 15 pages in 30 minutes she decides to create s table to keep track of her progress from the data provided at what radio is the constant proportionality
To find the constant of proportionality in this situation, we can set up a proportion using the given information.
Let x represent the number of minutes, and y represent the number of pages read.
We know that Ruth can read 15 pages in 30 minutes. This can be written as the proportion:
15/30 = y/x
Simplifying this, we get:
1/2 = y/x
This tells us that the constant of proportionality is 1/2 or 0.5.
Therefore, for every 1 minute that passes, Ruth can read 0.5 pages.
To find the constant proportionality between the number of pages Ruth can read and the time it takes, we can use the formula:
Proportionality constant = Number of pages / Time taken
Given that Ruth can read 15 pages in 30 minutes, we can substitute these values into the formula:
Proportionality constant = 15 / 30
Simplifying this expression gives:
Proportionality constant = 0.5
Therefore, the constant proportionality between the number of pages Ruth can read and the time it takes is 0.5.
To determine the constant proportionality in this scenario, we'll need to find the rate at which Ruth reads pages per minute.
From the information given, we know that Ruth can read 15 pages in 30 minutes. We can express this as a ratio:
15 pages / 30 minutes
To find the rate at which Ruth reads pages per minute, we can simplify this ratio:
15 pages / 30 minutes = 0.5 pages per minute
Therefore, the constant proportionality in this case is 0.5 pages per minute. This means that Ruth can read 0.5 pages for every minute that passes.