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2. In the troposphere, as altitude increases, air temperature drops at a relatively uniform rate. At the top of the troposphere, an average depth of 11 km, the average temperature is -56.5°C. At the base of the troposphere, 0 km, the average temperature is 15°C. In a linear model of this situation, which of the following statements applies? An increase of 1 km in altitude corresponds to a increase of 3.8°C in temperature. An increase of 1 km in altitude corresponds to a decrease of 3.8°C in temperature. An increase of 1 km in altitude corresponds to a increase of 6.5°C in temperature. An increase of 1 km in altitude corresponds to a decrease of 6.5°C in temperature.

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Answer: An increase of 1 km in altitude corresponds to a decrease of 6.5°C in temperature.

Step-by-step explanation: In a linear model of this situation, the y-intercept represents the temperature at the base of the troposphere, 15°C.

The rate of change, or slope, can be determined using two values: temperature at the base, (0 , 15), and temperature at the top, (11 , −56.5).

The linear model of this situation is y = 15 − 6.5x, where x represents the height of the troposphere, in kilometers.

The rate of change, or slope, indicates that an increase of 1 km in altitude corresponds to a decrease of 6.5°C in temperature. Hope this helps