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 number of minutes it takes him: 15 pages / 5 minutes = 3 pages/minute. So the constant of proportionality for Jimmy is 3.
To find the constant of proportionality for Carlo, we divide the number of pages he reads by the number of minutes it takes him: 12 pages / 6 minutes = 2 pages/minute. So the constant of proportionality for Carlo is 2.
The proportional relationship for Jimmy is 3 pages/minute and for Carlo is 2 pages/minute.
In comparison, Jimmy reads more pages per minute than Carlo.
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To find the constant of proportionality for Jimmy, we can divide the number of pages he reads by the time it takes him to read them. Therefore, Jimmy's constant of proportionality is 15 pages / 5 minutes = 3 pages/minute.
To find the constant of proportionality for Carlo, we can divide the number of pages he reads by the time it takes him to read them. Therefore, Carlo's constant of proportionality is 12 pages / 6 minutes = 2 pages/minute.
To compare the proportional relationships, we can say that for every minute, Jimmy reads 3 pages, while Carlo reads 2 pages. This means that Jimmy reads at a faster rate than Carlo.
To find the constant of proportionality for Jimmy, divide the number of pages he reads (15) by the amount of 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, divide the number of pages he reads (12) by the amount of time it takes him to read those pages (6 minutes):
Constant of proportionality for Carlo = 12 pages / 6 minutes = 2 pages/minute
Now, let's compare the proportional relationships:
Jimmy reads 3 pages per minute, while Carlo reads 2 pages per minute. Therefore, Jimmy reads at a faster rate than Carlo.