Table: 1/2 hour = 15 pages read
1 hour = 30 pages read
1 1/2 hours = 45 pages read
2 hours = 60 pages read
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?
The constant of proportionality in this case can be found by dividing the number of pages read by the amount of time it takes to read them.
From the given data, we have:
- 1/2 hour = 15 pages read
- 1 hour = 30 pages read
- 1 1/2 hours = 45 pages read
- 2 hours = 60 pages read
To find the ratio, we can divide the number of pages read by the time it took to read them:
- For 1/2 hour: 15 pages / 1/2 hour = 30 pages/hour
- For 1 hour: 30 pages / 1 hour = 30 pages/hour
- For 1 1/2 hours: 45 pages / 1 1/2 hours = 30 pages/hour
- For 2 hours: 60 pages / 2 hours = 30 pages/hour
As we can see, in all cases, the ratio is 30 pages per hour. Therefore, the constant of proportionality is 30 pages/hour.