Let's analyze the given information step-by-step:
1. Day and Night Kennel:
- Charges [tex]\(\$20\)[/tex] per day to board a pet.
- Additionally, there is a one-time food fee of [tex]\(\$15\)[/tex].
Together, these charges can be represented as a tuple:
[tex]\[
(\text{Daily Charge}, \text{One-time Food Fee}) = (20, 15)
\][/tex]
2. Bark Time Hotel:
- Charges [tex]\(\$30\)[/tex] per day to board a pet.
- Additionally, there is a one-time food fee of [tex]\(\$5\)[/tex].
Together, these charges can be represented as a tuple:
[tex]\[
(\text{Daily Charge}, \text{One-time Food Fee}) = (30, 5)
\][/tex]
3. Summary:
- The system for Day and Night Kennel is represented as [tex]\((20, 15)\)[/tex].
- The system for Bark Time Hotel is represented as [tex]\((30, 5)\)[/tex].
Therefore, the tuple representation that matches this real-world situation is [tex]\(((20, 15), (30, 5))\)[/tex].
