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, we can divide the number of pages he reads (15) by the number of minutes it takes (5):
Constant of proportionality for Jimmy (k1) = 15/5 = 3
To find the constant of proportionality for Carlo, we can divide the number of pages he reads (12) by the number of minutes it takes (6):
Constant of proportionality for Carlo (k2) = 12/6 = 2
Therefore, the constant of proportionality for Jimmy is 3 and the constant of proportionality for Carlo is 2.
To compare the proportional relationships, we can say that Jimmy reads 3 pages per minute while Carlo reads 2 pages per minute. This means that Jimmy reads more pages in the same amount of time compared to Carlo.