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 unit rate (constant of proportionality) represented?
time (hours) - pages read
1 over 2 - 15
1 - 30
1 and 1 over 2 - 45
2 - 60
From the data provided, we can see that as the time in hours increases, the number of pages read also increases. Therefore, the unit rate (constant of proportionality) represented is the ratio of pages read to time (hours).
For example, when the time is 1 hour, Ruth reads 30 pages. So the unit rate at this point is 30 pages read per 1 hour.
Similarly, when the time is 2 hours, Ruth reads 60 pages. So the unit rate at this point is 60 pages read per 2 hours.
Therefore, the unit rate is 30/1 = 60/2 = 15 pages per hour.