Use the table to answer the question.
Time (hours) Pages read
1/2 15
1 30
1 1/2 45
2 60
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
(2, 60)
left parenthesis 2 comma 60 right parenthesis
(1, 30)
3 answers
(1, 30)
are you sure
No, I apologize for the mistake. Let me calculate the ratio of the constant of proportionality using the data provided.
The increase in pages read from 15 pages to 30 pages is 15 pages.
The increase in time from 1/2 hour to 1 hour is 1/2 hour.
To find the ratio of the constant of proportionality, we divide the increase in pages read by the increase in time:
15 pages / (1 - 1/2) hour = 15 pages / 1/2 hour = 30 pages/hour
Therefore, the ratio of the constant of proportionality is 30. This means that Ruth reads 30 pages per hour.
The increase in pages read from 15 pages to 30 pages is 15 pages.
The increase in time from 1/2 hour to 1 hour is 1/2 hour.
To find the ratio of the constant of proportionality, we divide the increase in pages read by the increase in time:
15 pages / (1 - 1/2) hour = 15 pages / 1/2 hour = 30 pages/hour
Therefore, the ratio of the constant of proportionality is 30. This means that Ruth reads 30 pages per hour.