Final answer:
The domain is continuous for all real numbers greater than or equal to 0 and the range is continuous for all real numbers less than or equal to 24 for the parking charge scenario.
Step-by-step explanation:
The correct answer is option B for domain and D for range. For domain, since the parking charge starts at 0 hours and goes up from there, the domain is continuous and would include all real numbers that are equal to or greater than 0, which can be expressed as x ≥ 0.
That is because time can be measured continuously rather than in set increments. For range, since the minimum parking charge is $6 and it increases by $3 for each additional hour (or part thereof) until it caps at $24, the range is also continuous.
However, the maximum charge is $24, which means the range includes all real numbers that are less than or equal to 24, represented as y ≤ 24. The fact that fractions of an hour are charged the same as full hours doesn't change the nature of the data from continuous to discrete since we focus on the possible outcomes (charges), which can take any value within the specified range.
The correct answer is option C for the domain and option D for the range.
For the domain, we are considering the possible values of x, which represents the number of hours parked in the garage. Since the given scenario allows parking for any number of hours, the domain is continuous (x >= 0).
For the range, we are considering the possible total charges. The initial charge is $6, and for each additional hour or fraction of an hour, there is an additional charge of $3. The maximum daily charge is $24. Therefore, the range is continuous (y ≤ 24).