Question

Kellen runs for at least 1 h but for no more than 2 h. He runs at an average rate of 6.6 kmph. The function that models the distance he runs for t hours is d(t)=6.6t. What are the theoretical and practical domains of the function?

Answer 1

The theoretical and practical domains of the function d(t) = 6.6t are 1 ≤ t ≤ 2.

Step-by-step explanation:

The theoretical domain of the function represents all possible input values for the function. In this case, the input is the time Kellen runs. Since Kellen runs for at least 1 hour but no more than 2 hours, the theoretical domain of the function is 1 ≤ t ≤ 2.

The practical domain of the function represents all valid input values for the function based on real-world constraints. In this case, the practical domain is limited by the time constraints mentioned in the question, which is at least 1 hour and no more than 2 hours. Therefore, the practical domain of the function is 1 ≤ t ≤ 2.