# The altitude at which we boil an egg affects how long it takes for the egg to achieve perfect hardness.

The altitude at which we boil an egg affects how long it takes for the egg to achieve perfect hardness.

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?

## This Post Has 3 Comments

1. asamuels216 says:

The first person was correct in the domain, however was incorrect with the integers and is actually the real numbers.

Step-by-step explanation:

Answer is Real Numbers and has the domain of −418 ≤ a ≤ 8848

hope this helps!

2. natalie9316 says:

The domain is $-418 \leq a \leq 8848$ where $a$ is an integer.

Step-by-step explanation:

We see from the data given that the  domain of T(a) takes both positive and negative integer values ( 8848 meters and  -418 meters); T(a) never gets decimal values (and in real life thy won't be of much use because we are not looking for that much accuracy).

So the appropriate number type for the domain of T(a) would be integers. And if you are interested, the domain is $-418 \leq a \leq 8848$.

3. iritike3347 says:

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.