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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?

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 rep class=
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 rep class=
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 rep class=
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 rep class=

Respuesta :

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)

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.


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