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?
(1 point)
Responses
(112, 30)
left parenthesis 1 Start Fraction 1 over 2 End Fraction comma 30 right parenthesis
(15, 12)
left parenthesis 15 comma Start Fraction 1 over 2 End Fraction right parenthesis
(1, 30)
left parenthesis 1 comma 30 right parenthesis
(2, 60)
To determine the ratio of the constant of proportionality, we can use the data given. The constant of proportionality represents the ratio between the number of pages read and the time it takes to read them.
From the data provided, Ruth can read 15 pages in 30 minutes. This can be represented as the ratio 15:30.
Simplifying this ratio by dividing both numbers by 15, we get 1:2.
Therefore, the ratio of the constant of proportionality is (1, 2). Therefore, the correct answer is:
left parenthesis 1 Start Fraction 1 over 2 End Fraction comma 30 right parenthesis
To find the ratio of the constant of proportionality from the given data, we need to look at the relationship between the number of pages read and the time it takes.
Given that Ruth can read 15 pages in 30 minutes, we can express this relationship as a ratio.
The ratio can be written as (pages read : time taken) or (15 : 30).
To simplify the ratio, we can divide both numbers by their greatest common divisor, which in this case is 15.
Dividing both 15 and 30 by 15, we get (1 : 2).
So the correct answer is:
(1/2, 30)
To find the constant of proportionality, we need to determine the relationship between the number of pages read and the time it takes Ruth to read those pages.
From the given information, we know that Ruth can read 15 pages in 30 minutes.
To calculate the ratio, divide the number of pages (15) by the time (30): 15/30 = 1/2.
Therefore, the correct option is (15, 12), which is represented as (15, 1/2).