SOLUTION: while Jenny goes on vacation, she puts her two dogs in a kennel. she pays a flat fee of $20 per dog and then pays a certain amount of money each day for each dog. If she leaves the

Question 947823: while Jenny goes on vacation, she puts her two dogs in a kennel. she pays a flat fee of $20 per dog and then pays a certain amount of money each day for each dog. If she leaves the dogs for 5 days, the cost is $540. If she leaves the dogs for 7 days, the cost is 740.
write a linear function to model the relationship between the number of days,x, at the kennel and the total cost, y, for one dog.
PLEASE HELP I DONT UNDERSTAND
I thought you had to do this:
5y + 540x = 20
7y + 740x = 20

Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
The question part is too strange. You want x for how many days and y for how much total cost for one dog. ~~Trying to account for total cost should be neater, maybe smarter~~.

Assigning different variables:
p, price per dog for 1 day
2 dogs, known
20 dollar, flat fee for 1 dog

FIVE DAYS
2*20+2*5*p=540

SEVEN DAYS
2*20+2*7*p=740

The five and seven day data MUST give the same price p for each dog each day. If the two equations do not give equal values for p, then the problem description is bad.

SOLVING EACH EQUATION:
-

-
PRICE , dollars per day for each dog.

NOW you can use your other expected variables x and y for what you were asked: to find A LINEAR EQUATION for cost for boarding a dog.
x, how many days
y, cost to board 1 dog for x days
-
FIXED cost of $20, and expect x to be from set of natural numbers (or whole numbers, in case of less than one full day of boarding).

-
The price works as the slope.
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