SYSTEM of INEQUALITIES WORD PROBLEMS
SYSTEM of INEQUALITIES WORD PROBLEMS
Reminders –
• First decide – what’s x and what’s y and label that on your paper.
• Group together the information that describes the same type of thing (generally cost and amounts). Use that to information to write two inequalities.
• Determine an appropriate scale and graph each inequality. Shade to represent the possible solutions (negative numbers don’t make sense in these contexts, so you only have one quadrant to work with!)
1. You can work at most 20 hours next week. You need to earn at least $92 to cover you weekly expenses. Your dog- walking job pays $7.50 per hour and your job as a car wash attendant pays $6 per hour. Write a system of linear inequalities and then graph them to represent the solution to this situation.
x =
y =
[pic]
2. Marsha is buying plants and soil for her garden. The soil cost $4 per bag, and the plants cost $10 each. She wants to buy at least 5 plants and can spend no more than $100. Write a system of linear inequalities and then graph them to represent the solution to this situation.
x =
y =
[pic]
3. John is packing books into boxes. Each box can hold either 15 small books or 8 large books. He needs to pack at least 35 boxes and at least 350 books. Write a system of linear inequalities and then graph them to represent the solution to this situation.
x =
y =
[pic]
Extension:
Problems 9-61 and 9-77 in the book
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