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.(2 points
To find the constant of proportionality for Jimmy, divide the number of pages he reads (15) by the number of minutes it takes (5):
Constant of proportionality for Jimmy = 15/5 = 3 pages/minute
To find the constant of proportionality for Carlo, divide the number of pages he reads (12) by the number of minutes it takes (6):
Constant of proportionality for Carlo = 12/6 = 2 pages/minute
The constant of proportionality for Jimmy is 3 pages/minute and for Carlo is 2 pages/minute.
A comparison between the proportional relationships can be made by stating that Jimmy reads 1 extra page per minute compared to Carlo.
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 those pages. So, the constant of proportionality for Jimmy is 15 pages / 5 minutes = 3 pages per 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 those pages. So, the constant of proportionality for Carlo is 12 pages / 6 minutes = 2 pages per minute.
To compare the proportional relationships, we can say that for every minute Jimmy reads, he reads 3 pages, whereas for every minute Carlo reads, he reads 2 pages.
To find the constant of proportionality, we divide the number of pages by the number of minutes for each reader.
For Jimmy,
Constant of proportionality = Number of pages / Number of minutes
= 15 / 5
= 3
For Carlo,
Constant of proportionality = Number of pages / Number of minutes
= 12 / 6
= 2
So the constant of proportionality for Jimmy is 3 and for Carlo is 2.
To compare the proportional relationships, we can say that for every minute of reading, Jimmy reads 3 pages, while Carlo reads 2 pages. Therefore, Jimmy reads at a faster rate than Carlo.