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Function domain word problems

The altitude at which we boil an egg affects how long it takes for the egg to achieve perfect hardness.
It takes 198198 seconds to boil a perfect egg at the lowest place possible, the edge of the Dead Sea, which has an altitude of 418-418 meters.
The highest place possible is the summit of Mount Everest which has an altitude of 88488848 meters. It takes 209209 seconds to boil a perfect egg there.
T(a)T(a) models the time (in seconds) it takes to boil a perfect egg at an altitude of aa meters.
Which number type is more appropriate for the domain of TT?
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What's the appropriate domain?
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