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Hannah reads at a constant rate of 3 pages every 8 minutes. Write an equation that shows the relationship between p, the number of pages she reads, and m, the number of minutes she spends reading. Do NOT use a mixed number.

Hannah reads at a constant rate of 33 pages every 88 minutes.\newlineWrite an equation that shows the relationship between p p , the number of pages she reads, and m m , the number of minutes she spends reading.\newlineDo NOT use a mixed number.

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Q. Hannah reads at a constant rate of 33 pages every 88 minutes.\newlineWrite an equation that shows the relationship between p p , the number of pages she reads, and m m , the number of minutes she spends reading.\newlineDo NOT use a mixed number.
  1. Identify Rate: Identify the constant rate at which Hannah reads.\newlineHannah reads 33 pages every 88 minutes. This means that for every 88 minutes of reading, she completes 33 pages.
  2. Determine Relationship: Determine the relationship between the number of pages and the number of minutes.\newlineSince Hannah reads at a constant rate, the number of pages she reads is directly proportional to the number of minutes she spends reading. We can express this relationship with a proportionality constant, which is the rate of pages per minute.
  3. Calculate Rate: Calculate the rate of pages per minute.\newlineTo find the rate, we divide the number of pages by the number of minutes.\newlineRate = PagesMinutes\frac{\text{Pages}}{\text{Minutes}} = 3 pages8 minutes\frac{3 \text{ pages}}{8 \text{ minutes}}
  4. Write Equation: Write the equation using the rate.\newlineLet pp represent the number of pages read and mm represent the number of minutes spent reading. The equation that shows the relationship between pp and mm is:\newlinep=(Rate)×mp = (\text{Rate}) \times m\newlinep=(38)×mp = \left(\frac{3}{8}\right) \times m

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