Pregunta
A hardware store rents vacuum oleaners that customers may use for part of a day betore returning. The function f(x) = Gir +14 models the total rental cost af a vacuum
cleanier.
Which is a reasonable domain tor the function?
A.
B.
(C.
D.
cleanier.
Which is a reasonable domain tor the function?
A.
B.
(C.
D.
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The reasonable domain for the function is
Solución
To determine the reasonable domain for the function
-
Understanding the Function:
-
represents the total rental cost of the vacuum cleaner. -
is likely the number of hours the vacuum cleaner is rented. - The function suggests a base fee ($14) plus an additional cost per hour ($5 per hour).
-
-
Determining the Domain:
- The rental period is described as “part of a day,” which implies that the maximum rental time should not exceed 24 hours.
- Therefore,
should be greater than 0 (since you can’t rent for a negative amount of time) and less than or equal to 24 hours. - Among the provided options,
best fits this scenario, allowing for rentals up to just under 24 hours.
-
Evaluating Other Options:
- Option A (
): This range doesn’t make sense in the context of rental hours. - Option C (
): This restricts rentals to less than half a day, which might be too limiting. - Option D (
): This range exceeds the typical daily rental period by a significant margin.
- Option A (
Final Answer:
Option B.
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Simplifique esta solución Extra Insights
When it comes to renting vacuum cleaners, it’s important to recognize that the rental duration must be a non-negative value. Since the function creates a total rental cost based on hours of use, the reasonable domain for the function would typically be
Additionally, think about the duration someone might actually need a vacuum cleaner. Most customers would only need it for a few hours, making 12 hours a reasonable upper limit for a rental period. Keeping this timeframe in mind helps align rental costs with practical usage!
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