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 of proportionality
To find the constant of proportionality, we need to determine the ratio of the number of pages read to the time it takes to read those pages.
Since Ruth can read 15 pages in 30 minutes, the ratio of pages to time is 15/30 = 1/2.
Therefore, the constant of proportionality is 1/2.
To find the ratio of the constant of proportionality, we can use the formula:
Constant of Proportionality = y / x
where "y" is the dependent variable (in this case, the number of pages read) and "x" is the independent variable (in this case, the time in minutes).
Given that Ruth can read 15 pages in 30 minutes, we can say that 15 is the value of "y" and 30 is the value of "x". Plugging these values into the formula, we get:
Constant of Proportionality = 15 / 30
Simplifying this expression, we have:
Constant of Proportionality = 1 / 2
Therefore, the ratio of the constant of proportionality is 1:2 or 1/2.
To find the ratio of the constant of proportionality, we can use the formula:
Ratio = Pages / Time
Based on the given information, Ruth can read 15 pages in 30 minutes.
Ratio = 15 pages / 30 minutes
To simplify the ratio, we can divide both the numerator and the denominator by their greatest common divisor, which is 15:
Ratio = (15 pages / 15) / (30 minutes / 15)
= 1 page / 2 minutes
Therefore, the ratio of the constant of proportionality is 1 page to 2 minutes.