Question

based on the graph and the situation, which domain and range make sense for function p? select the correct choice. a domain: all numbers from 0 to 85. range: all numbers from 0 to 14. b domain: whole numbers only from 0 to 14. range: whole numbers only from 0 to 85 c domain: all numbers from 0 to 14. range: whole numbers only from 0 to 85. d domain: whole numbers only from 0 to 14. range: all numbers from 0 to 85.

Explanation:

The situation is about "hours since opening" (domain) and likely a quantity (range, e.g., number of people or sales). Hours since opening can be all real numbers between 0 and 14 (since time is continuous), and the range (e.g., count) should be whole numbers (as you can't have a fraction of a person/unit). Option C has domain: all numbers from 0 to 14 (continuous time) and range: whole numbers from 0 to 85 (discrete quantity), which makes sense. Option A swaps domain and range. Option B has domain as whole numbers (time is continuous, not just whole numbers). Option D has range as all numbers (but quantity should be whole numbers).

Answer:

C. Domain: all numbers from 0 to 14. Range: whole numbers only from 0 to 85.