The appropriate domain for the depreciation function of Charnette's electric vehicle is all non-negative mileages, meaning the car could have any mileage starting from zero. Thus, option C (x≥0) is the correct choice.
When dealing with the depreciation of Charnette's electric vehicle, the domain of the depreciation function is crucial to determine. The domain, which represents the input values to the function, should logically represent the possible mileages on the car at which the depreciation rates apply.
Given that it's not possible for a vehicle to have a negative mileage, option A (All real numbers) could include negative values and thereby does not make sense for the domain. Option B (x≤18,500) restricts the domain to vehicles that have been driven 18,500 miles or less, but the depreciation data removes such a limitation. The third option (C, x≥0), which states that the domain includes all non-negative mileages, is the most plausible choice as it accounts for a brand-new vehicle (zero miles) and any vehicle that has been driven. Lastly, option D (y≥0) does not refer to the domain but to the range of the function, which relates to the depreciation rates rather than the mileage.
The domain of the function according to the data provided would include all possible mileages the car might have, starting from zero. Therefore, the correct domain for the depreciation function of Charnette's electric vehicle is x≥0, making option C the appropriate choice.
The probable question may be:
Charnette recently acquired a cutting-edge electric vehicle, known for its innovative technology. The vehicle's depreciation is modeled by a function, and we aim to determine the suitable domain for this function. Considering the technological aspects and practical constraints, which set of values makes sense for the domain of this depreciation function?
Options:
A) All real numbers
B) x≤18,500
C) x≥0
D) y≥0
Additional Information: Charnette's electric vehicle is equipped with advanced features, including state-of-the-art battery technology, autonomous driving capabilities, and over-the-air software updates. The table below provides some relevant data about the vehicle's depreciation based on the chosen domain:
Domain (x) Depreciation Rate (y)
0 to 10,000 7% per year
10,001 to 20,000 5% per year
20,001 and above 3% per year