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The problem provides a graph representing a relationship between two variables, \( x \) (income per month) and \( y \) (expenditure on tourism), and explains that there is a perfect correlation between them, as shown by the scatter plot. The linear estimation of this relationship is given by the equation:

\[
y = 0.75x - 0.5
\]

We are asked to interpret this linear relationship and choose the correct interpretation from the provided options.

### Breaking down the linear equation:
- **Slope (0.75)**: This indicates that for every increase of 1 unit in \( x \), \( y \) increases by 0.75 units.
- **Intercept (-0.5)**: When \( x = 0 \), \( y \) would be -0.5, which is where the line crosses the \( y \)-axis.

### Answer Interpretation:
The slope of 0.75 means that for every 1-unit increase in \( x \) (income), the variable \( y \) (expenditure) increases by 0.75 units. Thus, the correct interpretation matches option **B**, which states:

> "Setiap kenaikan variabel x sebesar 1 satuan akan meningkatkan variabel y sebesar 0,75 satuan"  
> (Each increase in variable \( x \) by 1 unit will increase variable \( y \) by 0.75 units).

### Correct answer: **B**

Would you like further details or have any questions?

Here are five related questions to deepen your understanding:
1. What does the intercept mean in real-world terms in this context?
2. How does changing the slope of the equation affect the relationship between \( x \) and \( y \)?
3. What would happen to the interpretation if the slope were negative?
4. Can you calculate \( y \) for a given \( x = 2 \) using this equation?
5. How would you identify a perfect correlation from a scatter plot?

**Tip:** The slope of a line in a linear equation indicates the rate of change between two variables. A higher slope shows a steeper relationship.

Perhatikan gambar di bawah ini yang menjelaskan hubungan antara pendapatan per bulan dan biaya wisata. Berdasarkan persamaan linier y = 0,75x - 0,5, tentukan interpretasi yang tepat.

Understand how to interpret a linear relationship between income and expenditure using the equation y = 0.75x - 0.5. This problem covers key concepts like slope and intercept, and interpreting scatter plots, suitable for high school students.

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