Question

day and night kennel charges $20 per day plus a food fee of $15 to board a pet. home away from home kennel charges $30 per day plus a food fee of $5. which system represents this real-world situation?

Answer 1

Let n be number of days and C the total cost;
Charges by Day and Night kernel,
C=15+20n

Charges by Home away from Home;
C=5 + 30n

The system of equations then is;
C=15+20n
C=5+ 30n

Answer 2

`y=20x+15...(1)`

`y=30x+5...(2)`

Explanation:

Let x represent the number of days. and y be the total cost.

We have been given that day and night kennel charges $20 per day, so charges for x days will be 20x.

We are also told that they charge food fee of $15 to board a pet, so total cost of boarding a pet in day and night kennel would be
`y=20x+15...(1)`

The home away from home kennel charges $30 per day, so charges for x days will be 30x.

We are also told that they charge food fee of $5 to board a pet, so total cost of boarding a pet in day and night kennel would be
`y=30x+5...(2)`

Therefore, our required system would be:

`y=20x+15...(1)`

`y=30x+5...(2)`