Final answer:
A relation is regarded as a function if each independent variable is associated with exactly one dependent variable. Considering the independent variable is the day of the week and the dependent variable is sleeping hours, this relation meets the criteria and is a function.
Step-by-step explanation:
To determine if the given relation is a function, we must know if every independent variable maps to exactly one dependent variable. In this case, the independent variable is the day of the week, and the dependent variable is the number of hours spent sleeping.
A function is a relationship where each input (here, each day of the week) is associated with exactly one output (the hours spent sleeping). Generally, a person sleeps a certain number of hours each night, which can vary by day, but on any given day, they sleep for one continuous period. Hence, for each day of the week, there is only one value for the number of hours slept. Therefore, the relation described is a function, as it meets the criterion that each independent variable value is paired with only one dependent variable value.
The correct answer would be: a. Yes, it is a function. because there is a single outcome for the dependent variable for each day.