Final answer:
The most suitable domain for the function representing Tanya's walk, based on time, would be 0 ≤ t ≤ 17. The number type best suitable for the domain would be either real numbers or integers, depending on how specific we want to get with the measurement of time.
Step-by-step explanation:
In this scenario, Tanya's remaining distance to be walked (represented by d(t)) is based on the amount of time, t, since she left home. The domain of this function specifies the possible values for t, which in this context represents time in minutes. Since time cannot be negative, and we're given that Tanya walks for 17 minutes, the most suitable option out of the ones provided would be 0 ≤ t ≤ 17. This indicates that t, the time, can be anywhere from 0 to 17 minutes. It's also important to note that, even though time is continuously passing, in these kind of problems we usually deem it appropriate to use real numbers as the type for the domain, since we'd often be dealing with fractions or decimals if we consider things like half a minute or quarter of a minute. However, for ease of understanding and given the context, it can also be reasonable to consider the domain as integers if we're only speaking about whole minutes.
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