Answer:
Integers.
Step-by-step explanation:
We have been given that T(a) models the time (in seconds), it takes to boil a perfect egg at an altitude of a meters. We are asked to determine the number type that is appropriate for the domain of T.
Since we know that domain of a function is the all possible x-values that will make a function work and will output real y-values.
We are told that lowest possible altitude is Dead sea with an altitude of -418 meters and it takes 198 seconds to boil a perfect egg there. We can represent this information as:
![T(-418)=198](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bepi965yhw8gxzv690f7nj3xxhk2q0iexj.png)
We are also given that the highest place possible is the summit of Mount Everest with an altitude of 8848 meters. It takes 209 seconds to boil a perfect egg there.
We can represent this information as:
![T(8848)=209](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bozjtgqwfu1zo1tn6dnss4c1a4x5t4jpev.png)
This means that our function can take any whole number between -418 and 8848 as its domain, therefore, the most appropriate number type for the domain of T is integers.