Jimmy reads 15 pages in 5 minutes. Carlo reads 12 pages in 5 minutes Find each constant of proportionality, showing your work. Then wide a sentence to compare the proportional relationships (2 pants)
To find the constant of proportionality for Jimmy, we can 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 can divide the number of pages he reads (12) by the time it takes him to read those pages (5 minutes):
Constant of proportionality for Carlo = 12 pages / 5 minutes = 2.4 pages/minute
The proportional relationship for Jimmy is that for every minute, he reads 3 pages. For Carlo, the proportional relationship is that for every minute, he reads 2.4 pages.
Comparing the two proportional relationships, we can say that Jimmy reads more pages per minute than Carlo.
To find the constant of proportionality for Jimmy, we can 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/minute
To find the constant of proportionality for Carlo, we can divide the number of pages he reads (12) by the time it takes him (5 minutes):
Constant of proportionality for Carlo = 12 pages / 5 minutes = 2.4 pages/minute
Comparing the proportional relationships for Jimmy and Carlo, Jimmy reads 3 pages per minute while Carlo reads 2.4 pages per minute. Therefore, Jimmy reads more pages per minute than Carlo.
To find the constant of proportionality for both Jimmy and Carlo, we will divide the number of pages read by the amount of time taken to read those pages.
For Jimmy:
He reads 15 pages in 5 minutes, so the constant of proportionality is 15/5 = 3.
For Carlo:
He reads 12 pages in 5 minutes, so the constant of proportionality is 12/5 = 2.4.
Now let's compare the proportional relationships:
Jimmy's relationship is described as "for every 5 minutes, Jimmy reads 15 pages."
Carlo's relationship is described as "for every 5 minutes, Carlo reads 12 pages."
In other words, Jimmy reads at a faster rate than Carlo, as he reads 15 pages compared to Carlo's 12 pages in the same 5-minute period.