To find the constant of proportionality for Jimmy and Carlo, we need to determine how many pages they read per minute.
For Jimmy:
- Jimmy reads 15 pages in 15 minutes.
- To find his rate, we divide the number of pages by the number of minutes:
\[ \text{Rate for Jimmy} = \frac{15 \text{ pages}}{15 \text{ minutes}} = 1 \text{ page per minute} \]
For Carlo:
- Carlo reads 12 pages in 6 minutes.
- We do the same by dividing the pages by the time:
\[
\text{Rate for Carlo} = \frac{12 \text{ pages}}{6 \text{ minutes}} = 2 \text{ pages per minute}
\]
Now that we have the rates, we can compare them. Jimmy has a constant of proportionality of 1 page per minute, while Carlo’s constant is 2 pages per minute.
In conclusion, Jimmy reads 1 page every minute, while Carlo reads 2 pages every minute. This means Carlo reads faster than Jimmy. If they both read for the same amount of time, Carlo will finish more pages than Jimmy. So, we can say that Carlo is a quicker reader compared to Jimmy, which shows that people have different reading speeds.