Question 203240
For a hiking trip, you are making a mix of x ounces of peanuts and y ounces of
 chocolate pieces. 
You want the mix to have less than 70 grams of fat and weigh less than 8ounces.
 An ounce of peanuts has 14 grams of fat, and an ounce of chocolate pieces has 7
 grams of fat. 
Write and graph a system of inequalities that models the situation
:
The fat inequality
14x + 7y < 70
To graph
7y = 70 - 14x
y = 10 - 2x; divide eq by 2
:
The weight inequality
x + y < 8
To graph:
y = 8 - y (green)
:
Graph these two equations
{{{ graph( 300, 200, -6, 10, -6, 16, 10-2x, 8-x) }}}
The area of feasibility: Positive area. below the lowest line
:
Looks like the best mixture: x=2, y=6