To find the constant of proportionality, we can examine the relationship between the time (in hours) and the pages read.
From the data you provided:
- When time \( t = 1 \) hour, pages read = 30 pages.
- When time \( t = 2 \) hours, pages read = 60 pages.
The constant of proportionality \( k \) can be found using the formula:
\[ k = \frac{\text{pages read}}{\text{time}} \]
Using the values given:
-
For \( t = 1 \) hour: \[ k = \frac{30 \text{ pages}}{1 \text{ hour}} = 30 \text{ pages/hour} \]
-
For \( t = 2 \) hours: \[ k = \frac{60 \text{ pages}}{2 \text{ hours}} = 30 \text{ pages/hour} \]
Thus, the constant of proportionality is 30 pages per hour.
Looking at the options:
- \( (1, 30) \) corresponds to 1 hour reading 30 pages, which is the proper representation of the constant of proportionality.
So the answer is: (1, 30).