2. One nice example of a (roughly) constant rate of change in nature is the envi

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2. One nice example of a (roughly) constant rate of change in nature is the environmental lapse rate, the rate of change of the atmospheric temperature with respect to changes in altitude. The standard environ- mental lapse rate is -6.49 K/km; this rate is valid from sea level to 11 kilometers above the earth's surface.2 (a) Using the covariational way of thinking about CRoC stated above, explain what this lapse rate means about changes in atmospheric temperature and changes in altitude. (b) If a mountain climber ascends the surface of a mountain in the middle of a warm, calm day and her elevation increases by 500 feet, how should she expect the temperature around her to change? Explain clearly, in words, how you thought about this problem. (c) Because the environmental lapse rate is constant, we can think of atmospheric temperature as a linear function of altitude. In the preamble above, I talked about how covariational thinking about linear functions can have some affordances that pointwise thinking (using a function formula to map a single input to a single output) does not. Explain why covariational thinking about the environmental lapse rate might have some advantages over pointwise thinking

Explanation / Answer

Answer:

Given that standard environmental lapse rate is ?6.49 K/km.

which is negative and that means as the height from surface of the earth increases by 1 km, then atmospheric temperature decreases by 6.49 K.

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