Question 237744
Instructions: Write and graph an inequality that models the situation. 
Zark is buying peanuts and cashews for a party. He can spend no more than $24. Peanuts cost $3 per pound and cashews cost $3 per pound. 
Let x = number of pounds of peanuts
Let y = number of pounds of cashews 
inequality: 3x + 3y <= 24 dollars
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1. Which of the following is a solution of the inequality:
a. (2, 8): 3*2+3*9 <= 24 ; 9+27 <= 24 ; Conclusion: NO
b. (4,6): 3*4 + 3*6 <= 24 ; 12 + 18 <= 24 ; Conclusion: No 
c. (8,2): 3*8 + 3*2 <= 24 ; 24 + 6 <= 24 ; Conclusion: NO
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2. What is the greatest number of pounds of peanuts that Zark can buy?
3x <= 24 ; x <= 8 ; Comment---He could buy 8 lbs of peanuts and no cashews.
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3. If x=6 lb, what are all possible values of y?
3*6 + 3y <= 24 ; 3y <= 24-18 ; 3y <= 6 ; y <= 2
Comment: y could be 0, 1, or 2.
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Cheers,
Stan H.