time (hours): 1/2 1 1 1/2 2
Pages read: 15 30 45 60
ruth can read 15 pages in 30 minutes she decides to create s table to keep track of her progress from the data provided at what radio is the constant proportionality
(a) 1 1/2, 30
(b) (2, 60)
(c) (1, 30
(d) (15, 1/2
To find the constant proportionality, we need to find the rate at which Ruth is reading pages. We can do this by dividing the number of pages read by the time taken.
For the first interval of time (1/2 hour), Ruth read 15 pages, so the rate is 15 pages / (1/2 hour) = 30 pages per hour.
For the second interval of time (1 hour), Ruth read 30 pages, so the rate is 30 pages / (1 hour) = 30 pages per hour.
For the third interval of time (1 1/2 hours), Ruth read 45 pages, so the rate is 45 pages / (1 1/2 hours) = 30 pages per hour.
For the fourth interval of time (2 hours), Ruth read 60 pages, so the rate is 60 pages / (2 hours) = 30 pages per hour.
As we can see, the rate is consistently 30 pages per hour. Therefore, the constant proportionality is (c) (1, 30).