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Charlotte rents movies through a television streaming service. Each movie rental costs $6.99\$6.99. The function C(m)C(m) represents the cost, in dollars, of mm movie rentals.\newlineWhat is the domain of C(m)C(m)?\newlineChoices:\newline(A) all whole numbers\newline(B) all multiples of 6.996.99 greater than or equal to 00\newline(C) all real numbers greater than or equal to 00\newline(D) all real numbers from 00 to 6.996.99

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Q. Charlotte rents movies through a television streaming service. Each movie rental costs $6.99\$6.99. The function C(m)C(m) represents the cost, in dollars, of mm movie rentals.\newlineWhat is the domain of C(m)C(m)?\newlineChoices:\newline(A) all whole numbers\newline(B) all multiples of 6.996.99 greater than or equal to 00\newline(C) all real numbers greater than or equal to 00\newline(D) all real numbers from 00 to 6.996.99
  1. Understand C(m) Function: Understand the function C(m)C(m) and what it represents.C(m)C(m) is the cost for renting mm movies, where each movie costs $6.99\$6.99. The domain of C(m)C(m) is the set of all possible values that mm can take. Since mm represents the number of movies rented, it must be a whole number because you cannot rent a fraction of a movie.
  2. Determine Min-Max Values: Determine the minimum and maximum values for mm. The minimum number of movies that can be rented is 00 (if Charlotte decides not to rent any movies). There is no maximum number of movies provided in the problem, so theoretically, Charlotte could rent as many movies as she wants, as long as she can afford it. Therefore, the minimum value for mm is 00, and there is no upper limit given.
  3. Identify Domain Type: Identify the domain based on the type of numbers mm can be.\newlineSince mm represents whole numbers (you can't rent a fraction of a movie), and there is no upper limit given, the domain of C(m)C(m) includes all whole numbers starting from 00 and going to infinity.
  4. Match Domain to Choices: Match the domain to the given choices.\newline(A) all whole numbers - This matches our conclusion from Step 33.\newline(B) all multiples of 6.996.99 greater than or equal to 00 - This is incorrect because the domain is about the number of movies, not the cost.\newline(C) all real numbers greater than or equal to 00 - This is incorrect because mm cannot be a fraction or a real number; it must be a whole number.\newline(D) all real numbers from 00 to 6.996.99 - This is incorrect because it limits mm to a range of values that are not whole numbers and does not cover all possible numbers of movies that can be rented.

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