Answer
(a) $T°C = 20°C-10h$
(b)$-30°C\leq T\leq 20°C$
Work Step by Step
As dry air moves upward, it expands and in so doing cools at a rate of about 1°C for each 100-m rise, up to about 12 km.
(a) If the ground temperature is 20°C, then write a formula for the temperature at height h.
The temperature at height $h$ km is $T°C = 20°C-10h$
Here,$0\leq h \leq 12$
(b) The range of temperature can be expected if a plane takes off and reaches a maximum height of 5 km.
The temperature at height 5 km is $T°C = 20°C-10(5)°C=-30°C$
Here, range of the temperature is
$-30°C\leq T\leq 20°C$