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

Answer 1

To find the constant of proportionality, we can use the formula k = y/x, where k is the constant of proportionality, y is the number of pages read, and x is the number of minutes it took.

For Jimmy, we have k₁ = 15/5 = 3.

For Carlo, we have k₂ = 12/6 = 2.

To compare the proportional relationships, we can divide the constant of proportionality for Jimmy by the constant of proportionality for Carlo: k₁/k₂ = 3/2 = 1.5.

This means that for every unit of time, Jimmy reads 1.5 times as many pages as Carlo.