Use the table to answer the question.
Time (hours) Pages read
12 15
1 30
112 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
(1, 30)
left parenthesis 1 comma 30 right parenthesis
(2, 60)
left parenthesis 2 comma 60 right parenthesis
(15, 12)
None of the given options match the data provided in the table. In the table, the time (in hours) is given on the left column, and the pages read is given on the right column. To find the ratio of the constant of proportionality, we can look at two different sets of data points:
1) From the first row: (0.5 hours, 15 pages)
2) From the second row: (1 hour, 30 pages)
The ratio of the constant of proportionality can be found by dividing the pages read by the time taken for each set of data:
1) Ratio = 15 pages / 0.5 hours = 30 pages/hour
2) Ratio = 30 pages / 1 hour = 30 pages/hour
So, the ratio of the constant of proportionality is 30 pages per hour. None of the given options reflect this ratio.
The constant of proportionality can be calculated by finding the ratio between the number of pages read and the time taken. From the given data, we can see that at the following point (2, 60), Ruth has read 60 pages in 2 hours.
Therefore, the correct answer is:
(2, 60)