......................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................Jimmy reads 15 pages in 5 minutes. Carlo reads 12 pages in 6 minutes. Find each constant of proportionality, showing your work. Then write a sentence to compare the proportional relationships.

To find the constant of proportionality for Jimmy, we divide the number of pages he reads (15) by the time it takes him to read those pages (5 minutes):

Constant of proportionality for Jimmy = 15 pages / 5 minutes = 3 pages/minute

To find the constant of proportionality for Carlo, we divide the number of pages he reads (12) by the time it takes him to read those pages (6 minutes):

Constant of proportionality for Carlo = 12 pages / 6 minutes = 2 pages/minute

The proportional relationships can be compared by saying that for every minute, Jimmy reads 3 pages while Carlo reads 2 pages.

in 2-3 sentences

The constant of proportionality for Jimmy is 3 pages per minute, while Carlo's constant of proportionality is 2 pages per minute. This means that Jimmy reads more pages per minute than Carlo.