Jimmy reads 15 pages in five minutes. Carlos reads 12 pages in six minutes. Find each constant of proportionality showing your work them. Write a sentence to compare the proportional relationships.
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 him to read them (5). Therefore, the constant of proportionality for Jimmy is 15/5 = 3.
To find the constant of proportionality for Carlos, we can divide the number of pages he reads (12) by the number of minutes it takes him to read them (6). Therefore, the constant of proportionality for Carlos is 12/6 = 2.
Comparing the proportional relationships, we can see that Jimmy reads 3 pages per minute and Carlos reads 2 pages per minute. Jimmy reads at a faster rate than Carlos.