Question

Michael reads 12 pages of a book in 18 minutes, 8 pages in 12 minutes,and 20 pages in 30 minutes. Is this a proportional relationship? If so, what is the constant of proportionality? What does it represent? Write an equation to represent this situation.

Answer 1

• y = 2/3x

Explanation:

Reading rate is y pages per x minutes and proportional relationship formula is:

• y = kx

The coefficient is:

• k = y/x

Let's verify if the given numbers fit into the same relationship:

• 12/18 = 2/3
• 8/12 = 2/3
• 20/30 = 2/3

We confirm all same and it means k = 2/3

Required equation is:

• y = 2/3x

This represents that Michael reads 2 pages per 3 minutes and for x minutes he reads 2/3x pages