Systems of Inequalities Applications

Solve the system of inequalities by graphing.

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Which system of linear inequalities is represented by the graph?

• y≤2x-1
  y>-2x+3
• y>2x-1
  y≤-2x+3
• y<2x-1
  y≥-2x+3
• y≤2x-1
  y>2x+3

Which point is a solution?

• (0, 6)
• (-3, 4)
• (1, 0)
• (-4, 3)

Colin needs to save at least $200 for homecoming. He works 2 jobs earning $9/hour at Wawa and $25/hour mowing lawns. He only has time to work 16 hours before homecoming.

• x + y ≥ 25

  x + y ≤ 9

• 100x + 25 y ≤ 200

  2x + 9y ≤ 16

• x + y ≥ 200

  9x + 25y ≤ 16

• 9x + 25y ≥ 200

  x + y ≤ 16

Solve the system of inequalities by graphing.

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Which system of inequalities represents the information below:
You can work at most 25 hours next week. You need to earn at least $85 to cover your gas and food expenses. Your babysitting job pays $7.50 per hour and your math tutoring job pays $6 per hour.
Let x = babysitting
Let y = math tutoring

Which system of linear inequalities represents the information below:

Mandy is buying plants and soil for a flowerbed for her mom. The soil costs $5 per bag and the plants cost $12 each. She wants to buy at least 6 plants and can spend no more that $100.

Let x = bags of soil

Let y = number of plants

Which system of linear inequalities represents the information below:
Josh is going to the store to buy candy. Bags of candy corn cost $3 and bags of chocolate cost $5. He needs to buy at least 20 bags of candy and he cannot spend more that $60.
Let x = bags of candy corn
Let y = bags of chocolate