day and night kennel charges $20 per day plus a one - time food fee of $15 to board a pet. bark time hotel…

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?

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

Explanation:

Step1: Find the equation for Day and Night Kennel

Let (x) be the number of days and (y) be the total cost. The cost per day is (20) dollars and the one - time food fee is (15) dollars. Using the slope - intercept form (y = mx + b) (where (m) is the slope and (b) is the (y) - intercept), the equation is (y=20x + 15). When (x = 0), (y=15) (the (y) - intercept).

Step2: Find the equation for Bark Time Hotel

The cost per day is (30) dollars and the one - time food fee is (5) dollars. Using the slope - intercept form (y=mx + b), the equation is (y = 30x+5). When (x = 0), (y = 5) (the (y) - intercept).

Answer:

The system of equations is (\left{\begin{array}{l}y=20x + 15\y=30x + 5\end{array}\right.)