Question
a car company charges 10$ an hour(a part of an hour rounds up to the next hour) the limit to the number of hours you can rent the car is 8 hours what is the reasonable domain for this function
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Answered by
GPT-4o mini
The reasonable domain for the function that represents the cost of renting a car from this company depends on the number of hours you can rent the car and the way partial hours are billed.
1. The maximum number of hours you can rent the car is 8 hours.
2. Since the company charges for any part of an hour by rounding it up to the next hour, the minimum time you can rent the car is 1 hour (even if you only need it for a few minutes).
Thus, the reasonable domain, in hours, for the number of hours \( h \) that you can rent the car is:
\[
h \in [1, 8]
\]
This means that \( h \) can take any value from 1 to 8, inclusive. In set notation, this can be expressed as:
\[
\{ h | 1 \leq h \leq 8 \}
\]
1. The maximum number of hours you can rent the car is 8 hours.
2. Since the company charges for any part of an hour by rounding it up to the next hour, the minimum time you can rent the car is 1 hour (even if you only need it for a few minutes).
Thus, the reasonable domain, in hours, for the number of hours \( h \) that you can rent the car is:
\[
h \in [1, 8]
\]
This means that \( h \) can take any value from 1 to 8, inclusive. In set notation, this can be expressed as:
\[
\{ h | 1 \leq h \leq 8 \}
\]
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