The slope in this context refers to the rate at which someone reads books over time. Let's analyze the given scenarios to determine the most simplified rate using whole numbers:
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Someone reads 3 books every 5 weeks:
- The reading rate can be expressed as \( \frac{3 \text{ books}}{5 \text{ weeks}} \) which simplifies to \( \frac{3}{5} \) books per week.
- In whole numbers, this is approximately 1 book every 1.67 weeks.
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Someone read 5 books in a week:
- The reading rate is simply 5 books per week.
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Someone is reading 5 books every 3 weeks:
- The reading rate is \( \frac{5 \text{ books}}{3 \text{ weeks}} \), which is approximately \( 1.67 \) books per week.
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Someone had 5 weeks to read a book:
- This means they read 1 book in 5 weeks, giving a rate of \( \frac{1 \text{ book}}{5 \text{ weeks}} \), which simplifies to \( \frac{1}{5} \) books per week.
Conclusion: Among these options, the highest and most simplified rate of reading using whole numbers is 5 books per week (as seen in the second scenario).