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 3 pages every 8 minutes. To express the relationship between the number of pages \(p\) she reads and the number of minutes \(m\) she spends reading, we can set up the following proportional equation:

\[
\frac{p}{m} = \frac{3}{8}
\]

This equation states that the ratio of the number of pages \(p\) to the number of minutes \(m\) is equal to the ratio of 3 pages to 8 minutes. 

To express this as a formula for \(p\) in terms of \(m\), we can multiply both sides by \(m\) to isolate \(p\):

\[
p = \frac{3}{8}m
\]

This equation shows that the number of pages \(p\) Hannah reads is directly proportional to the number of minutes \(m\), with a rate of \(\frac{3}{8}\) pages per minute.

Would you like further explanation or more details?

Here are 5 related questions:
1. How many pages will Hannah read in 40 minutes?
2. How long will it take Hannah to read 15 pages?
3. What would the equation look like if Hannah reads at a different rate, say 5 pages in 12 minutes?
4. How does the equation change if Hannah reads at a faster rate, say 4 pages every 8 minutes?
5. Can you find the unit rate of pages per minute for Hannah?

**Tip**: To find how much time or how many pages for different values, simply substitute known values into the equation!

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.

Explore how to set up and solve an equation that describes the proportional relationship between the number of pages read and time spent reading. This problem uses the formula p = (3/8) * m and is suitable for students in Grades 6-8.

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