SOLUTION: Cherries cost ​$​4/lb. Grapes cost ​$​1.50/lb. You can spend no more than ​6$ on​ fruit, and you need at least 2lb in all. Create a graph showing the amount of each fru

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Cherries cost ​$​4/lb. Grapes cost ​$​1.50/lb. You can spend no more than ​6$ on​ fruit, and you need at least 2lb in all. Create a graph showing the amount of each fru      Log On


   

Question 1199072: Cherries cost ​$​4/lb. Grapes cost ​$​1.50/lb. You can spend no more than ​6$ on​ fruit, and you need at least 2lb in all. Create a graph showing the amount of each fruit you can buy.
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
Let c = the number of lbs of cherries
Let g = the number of lbs of grapes
The two constraints are:
c + g >= 2 [At least two lbs of fruit]
4c + 1.5g <= 6 [$4 per lb of cherries, $1.50 per lb of grapes]
The dark shaded region of the graph shows the amount of each based
on the two constraints: