https://file.aiquickdraw.com/mathbot/file/1728366839091jpezbvay.jpg

Let's analyze the graph and the questions:

1. The graph shows the relationship between "Temperatura" (Temperature in °C) and "Altura" (Height in kilometers).
2. It appears to be a linear relationship, where the temperature decreases as the altitude increases.

Let's answer the questions based on the graph:

### (a) **¿Cuál es la temperatura a 0 kilómetros?**
At 0 km on the x-axis, the temperature on the y-axis is 40°C, so:
- **Respuesta**: 40°C

### (b) **Elegir el enunciado que mejor describa cómo se relacionan la altura y la temperatura.**
From the graph, as altitude increases, the temperature decreases. Therefore, the correct statement is:
- **A medida que la altura aumenta, la temperatura disminuye.**

### ¿A qué tasa disminuye la temperatura?**
To find the rate at which temperature decreases (slope), we can use two points from the graph:
- At 0 km, the temperature is 40°C.
- At 8 km, the temperature is 0°C.

The slope is calculated as:
\[
\text{slope} = \frac{\Delta T}{\Delta h} = \frac{0°C - 40°C}{8 \, \text{km} - 0 \, \text{km}} = \frac{-40°C}{8 \, \text{km}} = -5°C \, \text{por kilómetro}
\]

So, the temperature decreases at a rate of **5°C por kilómetro**.

Would you like more details or have any further questions?

Here are some related questions:
1. How do we calculate the slope of a line from a graph?
2. What is the equation of the line based on this graph?
3. How could we interpret the y-intercept in this case?
4. What would the temperature be at 10 kilometers if the trend continued?
5. How would this graph change if the planet had a thinner atmosphere?

**Tip:** The slope of a line is crucial for understanding the rate of change between two variables.

Unos científicos miden la temperatura de un planeta distante. El gráfico muestra la temperatura (en °C) respecto a la altura (en kilómetros) sobre la superficie del planeta. Responder a las siguientes preguntas: (a) ¿Cuál es la temperatura a 0 kilómetros? (b) Elegir el enunciado que mejor describa cómo se relacionan la altura y la temperatura y luego dar el valor solicitado.

Explore how to analyze the relationship between temperature and altitude using linear equations. This problem involves understanding the slope concept and graph interpretation, suitable for students in Grades 6-8. Solve questions based on the rate of temperature change on a distant planet.

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