Question

Alice's freezer can be set to a range of temperatures, from -6^\circ−6 ∘ minus, 6, degree to -1^\circ−1 ∘ minus, 1, degree Celsius. When the temperature is -1^\circ−1 ∘ minus, 1, degree Celsius, it takes water 444 hours to freeze, which is the longest time. The shortest time is 222 hours, when the temperature is set to -6^\circ−6 ∘ minus, 6, degree Celsius. T(t)T(t)T, left parenthesis, t, right parenthesis models the time (in hours) it takes water to freeze at a temperature of ttt degrees Celsius. Which number type is more appropriate for the domain of TTT?

Answer 1

Real number

−6≤t≤−1

Answer 2

We have been given that Alice's freezer can be set to a range of temperatures from
`-6^(o) C` to
`-1^(o) C`.

We have been given that when the temperature is
`-1^(o) C` it takes 4 hours to freeze water, which is the longest time. The shortest time is 2 hours, when the temperature is set to
`-6^(o) C`.

We can represent this information as:

`T(-6)=2`

`T(-1)=4`

We can see that domain of function will be integers from -6 to -1 because temperature is usually measured to nearest integer.

Therefore, domain of our function will be integer numbers {-6,-5,-4,-3,-2,-}.