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
(15, 1/2)
left parenthesis 15 comma Start Fraction 1 over 2 End Fraction right parenthesis.
(2, 60)
left parenthesis 2 comma 60 right parenthesis.
(1 1/2, 30)
left parenthesis 1 Start Fraction 1 over 2 End Fraction comma 30 right parenthesis.
(1, 30)
The correct answer is (1, 30).
To determine the constant of proportionality, we need to find the ratio of the number of pages Ruth can read to the amount of time it takes her to read them.
From the given data, Ruth can read 15 pages in 30 minutes.
Therefore, the ratio of the constant of proportionality is:
(15, 1/2)
left parenthesis 15 comma Start Fraction 1 over 2 End Fraction right parenthesis.
To find the ratio of the constant of proportionality, we need to identify 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 proportion:
15 pages / 30 minutes = x pages / y minutes
Now, to determine the ratio of the constant of proportionality, we need to simplify the proportion.
First, we can simplify the left-hand side by dividing both numerator and denominator by 15:
1 page / 2 minutes = x pages / y minutes
Now, we can compare the simplified proportion to the answer choices provided:
Choice (1): (15, 1/2)
This choice matches our simplified proportion, with the ratio of 1 page to 2 minutes. Therefore, the correct answer is:
(15, 1/2)