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: 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 number of minutes it takes: 12 pages / 6 minutes = 2 pages/minute.
The proportional relationship for Jimmy is that he reads 3 pages for every 1 minute, while the proportional relationship for Carlo is that he reads 2 pages for every 1 minute. Therefore, Jimmy reads faster than Carlo, as he reads more pages in the same amount of time.
To find the constant of proportionality for each person, we use the formula: constant of proportionality = number of pages / number of minutes.
For Jimmy, the constant of proportionality is 15 pages / 5 minutes = 3.
For Carlo, the constant of proportionality is 12 pages / 6 minutes = 2.
To compare the proportional relationships, we can say that Jimmy reads 3 pages per minute, while Carlo reads 2 pages per minute. Therefore, Jimmy reads faster than Carlo.
To find the constant of proportionality for Jimmy, we need to divide the number of pages he reads by the amount of time it takes him. In this case, we divide 15 pages by 5 minutes:
Constant of proportionality for Jimmy = 15 pages / 5 minutes = 3 pages/minute
Similarly, to find the constant of proportionality for Carlo, we divide the number of pages he reads by the amount of time it takes him. In this case, we divide 12 pages by 6 minutes:
Constant of proportionality for Carlo = 12 pages / 6 minutes = 2 pages/minute
Now, we can compare the proportional relationships:
Jimmy reads 3 pages per minute, whereas Carlo reads 2 pages per minute. Therefore, Jimmy reads at a faster pace than Carlo.