To write: The formula for the temperature at height h.
The formula for the temperature is .
The ground temperature is .
For each 100 m rise up, the temperature is increased by .
Let the temperature is denoted by T and the height is denoted by h.
From the given information, it is observed that .
Since the temperature is increasing by , .
To find: The range of temperature of plane at height 5 km.
The range of temperature of plane at height 5 km is .
From part (a), the temperature is given by the formula, .
Re write this as,
Simplify further as,
Thus, the range of the temperature of plane at the height of 5 km is .
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