Day and Night Kennel charges 20 dollars per day plus a one-time food fee of 15 dollars to board a pet. Bark Time Hotel charges 30 dollars per day plus a one-time food fee of 5 dollars Which system represents this real-world situation?

Let x be the number of days and y the total boarding cost. Day and Night’s cost is y = 20x + 15, while Bark Time’s cost is y = 30x + 5; their y-intercepts are therefore 15 and 5. Setting the costs equal gives 20x + 15 = 30x + 5, so x = 1 and the shared cost is $35. Choice A shows those intercepts and the intersection (1, 35).

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