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olga2289 [7]
2 years ago
12

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 relatio

nship? If so, what is the constant of proportionality? What does it represent? Write an equation to represent this situation.
Mathematics
1 answer:
maria [59]2 years ago
7 0

Answer:

  • y = 2/3x

Step-by-step explanation:

<u>Reading rate is y pages per x minutes and proportional relationship formula is:</u>

  • y = kx

<u>The coefficient is:</u>

  • k = y/x

<u>Let's verify if the given numbers fit into the same relationship:</u>

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

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

<u>Required equation is:</u>

  • y = 2/3x

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

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