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

Answer: Second graph is representing the correct situation.

Explanation:

Let x is the number of days. Then, according to the question

we get two equations y=20x+15 ------(1) and y=30x+5 ------(2)

on solving these two equations we get, x=1, y=35

Thus, (1,35) is the intersection point of the lines (1) and (2).

which is only showing in graph second.

Thus, second option is correct.

Answer 2

We define variables:
y: total amount
x: number of days
The system of equations is:
y = 20x + 15
y = 30x + 5
The solution to the system is the ordered pair:
(x, y) = (1, 35)
Answer:
(x, y) = (1, 35)
Graphic number 2 (from left to right)