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 by the amount of time it takes him. 15 pages / 5 minutes = 3 pages/minute.
To find the constant of proportionality for Carlo, we divide the number of pages he reads by the amount of time it takes him. 12 pages / 6 minutes = 2 pages/minute.
The proportional relationship for Jimmy is 3 pages per minute and for Carlo is 2 pages per minute.
Comparing the proportional relationships, we can see that Jimmy reads more pages per minute than Carlo.
To find the constant of proportionality for Jimmy, we divide the number of pages he reads (15) by the time it takes him (5 minutes):
Constant of proportionality for Jimmy = 15 pages / 5 minutes = 3 pages per minute.
To find the constant of proportionality for Carlo, we divide the number of pages he reads (12) by the time it takes him (6 minutes):
Constant of proportionality for Carlo = 12 pages / 6 minutes = 2 pages per minute.
The proportional relationships can be compared by noting that Jimmy reads 3 pages per minute, while Carlo reads 2 pages per minute. Thus, Jimmy reads at a faster rate than Carlo.
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 / 5 = 3
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 / 6 = 2
Now, let's write a sentence to compare the proportional relationships:
Jimmy reads 3 pages per minute, whereas Carlo reads 2 pages per minute. This means that for every minute, Jimmy reads 1 more page than Carlo.