Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

3. domain: a lawn care service charges based on the number of full lawn…

Question

  1. domain: a lawn care service charges based on the number of full lawns mowed. which is the most appropriate domain? a {1, 2, 3, 4,...} b {0, 1, 2, 3,...} c {..., -1, 0, 1, 2,...} d. all real numbers

Explanation:

Brief Explanations

The problem is about determining the domain for the number of full - hour moments a lawn care service charges for. The number of full - hour moments can be 0 (if no hours are charged), 1, 2, 3, and so on. Option A starts from 1, but it's possible to have 0 hours (for example, if no service is provided or the service time is less than a full hour but we are counting full - hour moments). Option C includes negative numbers, which doesn't make sense for the number of hours (you can't have a negative number of full - hour moments). Option D includes all real numbers, but the number of full - hour moments must be a non - negative integer. So the set \(\{0, 1, 2, 3,\cdots\}\) is the most appropriate domain.

Answer:

B. \(\{0, 1, 2, 3,\cdots\}\)