The domain is the set of values for which the given function is defined. The domain of the given function is 0≤x≤7.5. The correct option is B.
What is the domain and range of a function?
The domain is the set of values for which the given function is defined.
The range is the set of all values which the given function can output.
Given that function b model the bagel inventory, b(x), after x hours of opening, and it is given as,
b(x) = 75 - 10x
Now, the domain of the function is the values that x can take in the function. Since x represents the number of hours after opening, therefore, it can not be negative and must start with zero.
Further, since the inventory or the total number of bagels that the shop has is 75, therefore, they can not sell more than that, and at some point, the inventory will become zero. Therefore, we can write,
75 - 10x = 0
-10x = -75
10x = 75
x = 75 /10
x = 7.5 hours
Hence, the domain of the given function is 0≤x≤7.5.
Learn more about the Domain and Range here:
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