To express the relationship between $p$, the number of pages Hannah reads, and $m$, the number of minutes she spends reading, we use the given information that she reads at a constant rate of 3 pages every 8 minutes.

The rate of reading is:

$\text{Rate} = \frac{3 \, \text{pages}}{8 \, \text{minutes}}$

Thus, the equation relating $p$ and $m$ is:

$p = \frac{3}{8}m$

This equation indicates that the number of pages $p$ is directly proportional to the number of minutes $m$, with a constant of proportionality of $\frac{3}{8}$.

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Would you like further explanation or examples?

Here are 5 related questions to deepen your understanding:

1. How many pages does Hannah read in 40 minutes using the equation?
2. How many minutes does it take for Hannah to read 15 pages?
3. What is the unit rate of pages per minute?
4. How can this equation be rearranged to solve for $m$ instead of $p$?
5. If Hannah doubles her reading speed, what would the new equation look like?

Tip: When solving proportional relationships, keep track of units to ensure calculations make sense!