Answer:
See below.
Step-by-step explanation:
Let x represent the number of days.
Since Day and Night Kennel charges a fee of $20 per day and only a one-time fee of $15:
[tex]y=20x+15[/tex]
Where y represents the total cost, 20x represents the cost for staying x days and 15 is the initial one-time fee.
For Bark Time Hotel, similarly:
[tex]y=30x+5[/tex]
Again, y represents the total cost, 30x represents the cost for staying x days, and 5 is the initial one-time fee.
Thus, the system of equations is:
[tex]y=20x+15\\y=30x+5[/tex]
