Question

day and night kennel charges $20 per day plus a one - time food fee of $15 to board a pet. bark time hotel charges $30 per day plus a one - time food fee of $5. which system represents this real - world situation?

Explanation:

Step1: Define Variables

Let \( d \) be the number of days and \( C \) be the total cost.

Step2: Cost for Day and Night Kennel

The daily charge is $20, so for LXI0 days, the daily cost is LXI1. There's a one - time food fee of $15. So the total cost \( C_1 \) for Day and Night Kennel is \( C_1=20d + 15 \).

Step3: Cost for Bark Time Hotel

The daily charge is $30, so for LXI0 days, the daily cost is LXI1. There's a one - time food fee of $5. So the total cost \( C_2 \) for Bark Time Hotel is \( C_2 = 30d+5 \).

Answer:

The system of equations is \(

$$\begin{cases}C = 20d+15\\C=30d + 5\end{cases}$$

\) where \(d\) is the number of days and \(C\) is the total cost.