Jimmy reads 15 pages in 5 minutes. Carlo reads 12 pages in 6 minutes. Find each constant of proportionality show your work. Then write a sentence to compared the proportional relationship.
Make sure its school appropriate and that no one has used it before
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): 15/5 = 3. Therefore, Jimmy's constant of proportionality is 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): 12/6 = 2. Therefore, Carlo's constant of proportionality is 2.
In the proportional relationship between the number of pages read and the time taken to read those pages, Jimmy has a constant of proportionality of 3 and Carlo has a constant of proportionality of 2. Therefore, for every 1 minute of reading, Jimmy reads 3 pages, while Carlo reads 2 pages.
To find the constant of proportionality for both Jimmy and Carlo, we need to divide the number of pages they read by the time it takes. Let's calculate them step-by-step:
1. For Jimmy:
Number of pages read = 15
Time taken = 5 minutes
Constant of proportionality for Jimmy = Number of pages read / Time taken
= 15 / 5
= 3
2. For Carlo:
Number of pages read = 12
Time taken = 6 minutes
Constant of proportionality for Carlo = Number of pages read / Time taken
= 12 / 6
= 2
Thus, the constant of proportionality for Jimmy is 3, and for Carlo is 2.
To compare the proportional relationship between Jimmy and Carlo, we can say that for every 1 minute, Jimmy reads 3 pages, while Carlo reads 2 pages.
To find the constant of proportionality for each person, we need to divide the number of pages read by the time taken. Let's calculate:
For Jimmy:
Constant of proportionality for Jimmy = Number of pages read / Time taken
= 15 pages / 5 minutes
= 3 pages per minute
For Carlo:
Constant of proportionality for Carlo = Number of pages read / Time taken
= 12 pages / 6 minutes
= 2 pages per minute
Now, let's compare the proportional relationships for Jimmy and Carlo:
Jimmy reads 3 pages per minute, and Carlo reads 2 pages per minute. This means that for every minute, Jimmy reads one more page than Carlo.