Question

It takes 198 seconds to boil a perfect egg at the lowest place possible, the edge of the Dead Sea, which has an altitude of -418 meters
The highest place possible is the summit of Mount Everest which has an altitude of 8848 meters. It takes 209 seconds to boil a perfect egg there.

T(a) models the time (in seconds) it takes to boil a perfect egg at an altitude of a meters

Which number type is more appropriate for the domain of T?

What’s the appropriate domain?

Answer 1

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:

$T(-418)=198$

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:  

$T(8848)=209$

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.