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?

Answer 1

Let x = number of days and y = total cost. The costs are

y = 20x + 15 (Day and Night Kennel)
y = 30x + 5 (Bark Time Hotel)

So the system is:
y = 20x + 15
y = 30x + 5

(They are equal when 20x+15 = 30x+5 → x = 1 day, cost = $35.)