Answer:
Step-by-step explanation:
Rate of change of Temperature with height can be given by:
[tex]\frac{dT}{dh} = \frac{T_{top} - T_{bottom}}{h_{top} - h_{bottom} }[/tex]
[tex]\frac{dT}{dh} = \frac{58 - 64}{2000} = -0.003 Fahrenheit/ft[/tex]
The average rate of change of the temperature will be 0.003°F.
The temperature at the base of a mountain = 64°F
The temperature at the top of the mountain = 58°F.
The average rate of change of the temperature will then be:
= (58 - 64) / 2000
= -8/2000
= 0.003°F
Therefore, the average rate of change of the temperature will be 0.003°F
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