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Question 1: Alley-Anne wants to buy x oranges and y peaches from the store. She must buy at least 5 oranges. The number of oranges must be less than twice the number of peaches. An orange weighs 150 grams and a peach weighs 100 grams. Alley-Anne can carry not more than 3.6 kg of fruits home. a) Write 3 inequalities to represent the information given above. b) Plot the inequalities on the Cartesian grid and shade the region that satisfies all the inequalities. c) List the vertices that borders the common region of the 3 inequalities.

Question 1: Alley-Anne wants to buy x oranges and y peaches from the store. She must buy at least 5 oranges. The number of oranges must be less than twice the number of peaches. An orange weighs 150 grams and a peach weighs 100 grams. Alley-Anne can carry not more than 3.6 kg of fruits home. a) Write 3 inequalities to represent the information given above. b) Plot the inequalities on the Cartesian grid and shade the region that satisfies all the inequalities. c) List the vertices that borders the common region of the 3 inequalities.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterA: Appendix
SectionA.3: Inequalities
Problem 9E
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Question 1: Alley-Anne wants to buy x oranges and y peaches from the store. She must buy at least 5 oranges. The number of oranges must be less than twice the number of peaches. An orange weighs 150 grams and a peach weighs 100 grams. Alley-Anne can carry not more than 3.6 kg of fruits home. a) Write 3 inequalities to represent the information given above. b) Plot the inequalities on the Cartesian grid and shade the region that satisfies all the inequalities. c) List the vertices that borders the common region of the 3 inequalities. d) Oranges cost $0.70 each and peaches cost $0.90 each. Write an expression to show this. e) Find the maximum amount that Alley-Anne can spend buying the fruits.
Transcribed Image Text:Question 1: Alley-Anne wants to buy x oranges and y peaches from the store. She must buy at least 5 oranges. The number of oranges must be less than twice the number of peaches. An orange weighs 150 grams and a peach weighs 100 grams. Alley-Anne can carry not more than 3.6 kg of fruits home. a) Write 3 inequalities to represent the information given above. b) Plot the inequalities on the Cartesian grid and shade the region that satisfies all the inequalities. c) List the vertices that borders the common region of the 3 inequalities. d) Oranges cost $0.70 each and peaches cost $0.90 each. Write an expression to show this. e) Find the maximum amount that Alley-Anne can spend buying the fruits.
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