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The cost of renting a luxury vehicle for a certain number of days can be modeled using a linear function. The rental agency charges an initial insurance fee of $85, plus an additional $315 per day. The rental agency's policy requires a minimum of one day of rental and a maximum of eight days of rental.

What is the domain of the function for this situation?

Answer :

Final answer:

In the context of the luxury vehicle rental problem, the linear function models the cost of renting the vehicle, where the number of rental days is the independent variable and the cost of renting is the dependent variable. The domain of this function, representing all possible rental durations, is any real number from 1 to 8 inclusive.

Explanation:

In the given problem, the cost of renting a luxury vehicle can be modeled using a linear function. The rental agency charges an initial insurance fee of 85, plus an additional 315 per day. Here, the number of rental days would be the independent variable, and the cost of renting the vehicle would be the dependent variable.

The rental agency's policy requires a minimum of one day of rental but a maximum of eight days of rental. Therefore, the domain of the function, which represents the set of all possible inputs or x-values, would be the range of days you can rent the car, in this case, from 1 to 8. Thus, the domain of the function for this specific situation would be all real numbers from 1 to 8 inclusive.

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