Jimmy reads 15 pages in 5 minutes Carlo reads 12 pages in 6 minutes find each constant of proportionality then write a sentence to compare the proportional relationships
To find the constant of proportionality, we divide the number of pages read by the amount of time taken.
For Jimmy:
Constant of proportionality = 15 pages / 5 minutes = 3 pages per minute.
For Carlo:
Constant of proportionality = 12 pages / 6 minutes = 2 pages per minute.
Therefore, the constants of proportionality for Jimmy and Carlo are 3 pages per minute and 2 pages per minute, respectively.
Now, let's compare the proportional relationships:
The number of pages Jimmy reads is proportional to the amount of time he takes, with a constant rate of 3 pages per minute. Similarly, the number of pages Carlo reads is proportional to the time he takes, but at a different constant rate of 2 pages per minute.
In other words, for every minute Jimmy reads, he reads 3 pages, while for every minute Carlo reads, he reads 2 pages.