Math Problem Statement
Solution
Let's analyze the graph and the questions:
- The graph shows the relationship between "Temperatura" (Temperature in °C) and "Altura" (Height in kilometers).
- 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:
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:
- How do we calculate the slope of a line from a graph?
- What is the equation of the line based on this graph?
- How could we interpret the y-intercept in this case?
- What would the temperature be at 10 kilometers if the trend continued?
- 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.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Slope
Graph Interpretation
Formulas
Slope formula: (change in y) / (change in x)
Theorems
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Suitable Grade Level
Grades 6-8