Refer to the number line. Find the coordinate of point X such that the ratio of BX to XF is 3:2.


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To solve this problem, we need to determine the coordinate of point \( X \) on a number line such that the ratio of the distances from points \( B \) to \( X \) and from \( X \) to \( F \) is \( 3:2 \). Let's break down the process step by step.

### Step 1: Understand the ratio
The ratio \( 3:2 \) means that the distance between \( B \) and \( X \) is 3 parts, while the distance between \( X \) and \( F \) is 2 parts. Therefore, the total distance from \( B \) to \( F \) is divided into \( 3 + 2 = 5 \) equal parts.

### Step 2: Identify the coordinates of \( B \) and \( F \)
We would need the specific coordinates of \( B \) and \( F \) from the number line in the provided image. If you upload the image, I can extract this information for further calculations.

Once you upload it, I'll proceed with the calculation.

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**Would you like to upload the image, or should I explain how the process would go in detail?**

Meanwhile, here are 5 questions you might consider to expand on this concept:
1. How do you determine the total distance between two points on a number line?
2. What does it mean when a ratio is applied to distances on a number line?
3. How can you find a specific point when given a ratio between two known points?
4. What is the formula for dividing a line segment into a given ratio?
5. Can ratios be negative if the points are on opposite sides of the number line?

**Tip:** When solving problems with ratios, it’s essential to break the total length into smaller equal parts based on the given ratio.

Refer to the number line. Find the coordinate of point X such that the ratio of BX to XF is 3:2.

This problem helps students understand how to find the coordinate of point X on a number line, given that the ratio of BX to XF is 3:2. Key mathematical concepts include working with ratios and using the section formula to divide line segments.

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