SOLUTION: Suppose that you take care of pets for vacationing neighbors each summer. You charge $15 per day to feed and walk a dog and $5 per day to feed other pets. You know that you can c

Algebra ->  Graphs -> SOLUTION: Suppose that you take care of pets for vacationing neighbors each summer. You charge $15 per day to feed and walk a dog and $5 per day to feed other pets. You know that you can c      Log On


   



Question 127079This question is from textbook
: Suppose that you take care of pets for vacationing neighbors each summer. You charge $15 per day to feed and walk a dog and $5 per day to feed other pets. You know that you can care for 10 pets per day and you want to earn at least $30 per day. Write a system of linear inequalities that describes the situation for x dogs and y pets other than dogs. Then graph the system to show all possible solutions. This question is from textbook

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
x dogs and y pets other than dogs
15x+%2B+5y+%3E=+30
5y+%3E=+-15x+%2B+30
y+%3E=+-3x+%2B+6
---------------------
x+%2B+y+%3C=+10
y+%3C=+-x+%2B+10
+graph%28+600%2C+600%2C+-5%2C+20%2C+-5%2C+20%2C-3x+%2B+6%2C+-x+%2B+10+%29+
The solutions are between the two lines, including
the lines also, but only in the positive x and y regions
(one cannot care for negative number of pets)
As a check, I can test some points that are in the
solution zone and one outside
Inside: (8,1), (1,7)
Outside: (1,2)
(8,1)
y+%3E=+-3x+%2B+6
y+%3C=+-x+%2B+10
------------------
1+%3E=+-3%2A8+%2B+6
1+%3E=+-18 Ok
-----------------
1+%3C=+-8+%2B+10
1+%3C=+2
=======================
(1,7)
7+%3E=+-3%2A1+%2B+6
7+%3E=+3
------------------
7+%3C=+-1+%2B+10
7+%3C=+9 OK
=======================
(1,2) should not work
2+%3E=+-3%2A1+%2B+6
2+%3E=+3 NOT OK
So, this is outside and fails as it should