The system of equation that represents this situation is y = 20x + 15 for day and night kernel and y = 30x + 5 for bark time hotel.
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
Let y represent the total charges for for boarding a pet in x days.
Day and night kennel charges $20 per day plus a one-time food fee of $15 to board a pet. Hence:
y = 20x + 15
Bark time hotel charges $30 per day plus a one-time food fee of $5. Hence:
y = 30x + 5
The system of equation that represents this situation is y = 20x + 15 for day and night kernel and y = 30x + 5 for bark time hotel.
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