To find the constant of proportionality for Jimmy, we divide the number of pages he reads by the time it takes him:
Jimmy's constant of proportionality:
- Pages read: 15 pages
- Time taken: 15 minutes
So, we calculate: \[ \text{Constant} = \frac{\text{Pages}}{\text{Time}} = \frac{15 \text{ pages}}{15 \text{ minutes}} = 1 \text{ page per minute} \]
Now, let's find Carlo's constant of proportionality. We do the same thing:
Carlo's constant of proportionality:
- Pages read: 12 pages
- Time taken: 6 minutes
So, we calculate: \[ \text{Constant} = \frac{\text{Pages}}{\text{Time}} = \frac{12 \text{ pages}}{6 \text{ minutes}} = 2 \text{ pages per minute} \]
Now, let's compare them. Jimmy reads 1 page per minute, while Carlo reads 2 pages per minute, so Carlo reads twice as fast as Jimmy. This means Carlo can finish his book faster than Jimmy can finish his book.