SOLUTION: 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

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
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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

The area of feasibility: Positive area. below the lowest line
:
Looks like the best mixture: x=2, y=6

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