https://file.aiquickdraw.com/mathbot/file/1727070197916t8q8yaig.jpg

The problem described in the image seems to involve a puzzle about connecting bookshelves ("rak" in Indonesian) in a library. Let's break down the essential information based on the photo:

- Rack 1 is near the entrance and connected to racks 2 and 5.
- Rack 3 is connected to racks 4 and 5.
- Rack 5 is connected to racks 6 and 7.
- The question asks for the maximum number of racks Dani can visit in a single path from entrance to exit.

To find the maximum racks that can be visited, we need to explore the longest chain of connected racks. Here's one potential path:
- Start at rack 1 (near the entrance).
- Move to rack 5 (as it's connected to rack 1).
- From rack 5, you can go to rack 6 or rack 7.

This gives a path of **4 racks** (1 → 5 → 6 → 7), which matches the selected answer (B).

Let me know if you need further clarification or have any specific questions!

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Here are five related questions to deepen your understanding:
1. How many racks can Dani visit if they start at rack 2 instead of rack 1?
2. What if rack 3 was connected directly to rack 7? How would this change the longest path?
3. Can Dani visit all racks in the library without revisiting any?
4. How would the path change if there was a limit on the number of racks Dani could visit in one session?
5. How can this problem be modeled as a graph theory problem?

**Tip**: When solving connection problems, visualizing the network or drawing a graph can make it easier to identify all possible paths!

Pada hari Minggu, Dani mengunjungi perpustakaan untuk membaca buku. Di perpustakaan tersebut, terdapat beberapa rak buku yang diatur dalam urutan tertentu. Rak 1 dekat dengan pintu masuk dan terhubung dengan rak 2 serta rak 5. Setelah berjalan, ia melihat bahwa rak 3 terhubung dengan rak 4, dan rak 5 terhubung dengan rak 6 dan rak 7. Rak 7 yang dekat dengan pintu keluar juga terhubung dengan rak 6. Berapa maksimal rak buku yang dapat dikunjungi Dani dalam sekali jalan dari masuk sampai keluar?

In this problem, explore how Dani can visit the maximum number of connected racks in a library. Using graph theory concepts, learn about pathfinding and connected components to solve this puzzle. Suitable for students in Grades 6-8.

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