Unit 6 Systems of Inequalities Applications

Smithfield High School is having a cookie dough fundraiser. Customers can buy packages of sugar cookie dough and packages of double chocolate cookie dough.  Sugar cookie dough sells for $5 per package and a package of double chocolate cookie dough sells for $8.  The school hopes to sell at least $1000 in cookie dough and they want to sell at least 150 packages.  Write a system that represents the possible number of packages of sugar cookie dough x, and double chocolate cookie dough y, that could be sold to meet the given conditions.

• 5x + 8y ≥ 150
  x + y ≥ 1000
• 5x + 8y ≥ 1000
  x + y ≥ 150
• 5x + 8y ≤ 1000
  x + y ≤ 150

In the previous question you wrote a system for the following situation.  Smithfield High School is having a cookie dough fundraiser. Customers can buy packages of sugar cookie dough and packages of double chocolate cookie dough.  Sugar cookie dough sells for $5 per package and a package of double chocolate cookie dough sells for $8.  The school hopes to sell at least $1000 in cookie dough and they want to sell at least 150 packages.  The correct answer is in the image.  Now create a graph. When you are done with your graph click "done". 

• click here when you are done with your graph.  
• don't click here. 

Now you have a graph for the story:    Smithfield High School is having a cookie dough fundraiser. Customers can buy packages of sugar cookie dough and packages of double chocolate cookie dough.  Sugar cookie dough sells for $5 per package and a package of double chocolate cookie dough sells for $8.  The school hopes to sell at least $1000 in cookie dough and they want to sell at least 150 packages.  Is the following graph correct? 

• yes 
• no 

The correct graph for the story below is provided in the image. Smithfield High School is having a cookie dough fundraiser. Customers can buy packages of sugar cookie dough and packages of double chocolate cookie dough.  Sugar cookie dough sells for $5 per package and a package of double chocolate cookie dough sells for $8.  The school hopes to sell at least $1000 in cookie dough and they want to sell at least 150 packages. Which of the following is NOT a solution to the problem? 

• 60 sugar and 120 chocolate 
• 120 sugar and 60 chocolate 
• 140 sugar and 20 chocolate 
• 100 sugar and 100 chocolate 

Jill and Jack want to improve their yards by planting hostas and ivy.  The cost of one hosta is $8 and the cost of one pot of ivy is $12.  They do not want to spend more than  $60 and they want to buy at least 6 plants.  Write a system that represents the possible number of hosta x, and ivy plants y, that could be sold to meet these conditions.  

• 8x + 12y ≥ 60
  x + y ≥ 6
• 8x + 12y ≤ 60
  x + y ≥ 6
• 8x + 12y ≤60 
  x + y ≤ 6
• 8x + 12y ≥ 60 
  x + y ≤6

In the previous question you wrote a system for the following situation.  Jill and Jack want to improve their yards by planting hostas and ivy.  The cost of one hosta is $8 and the cost of one pot of ivy is $12.  They do not want to spend more than  $60 and they want to buy at least 6 plants.  Write a system that represents the possible number of hosta x, and ivy plants y, that could be sold to meet these conditions. The correct answer is in the image.  Now create a graph. When you are done with your graph click "done". 

• click here when you are done with your graph.  
• don't click here. 

Now you have a graph for the story: Jill and Jack want to improve their yards by planting hostas and ivy.  The cost of one hosta is $8 and the cost of one pot of ivy is $12.  They do not want to spend more than  $60 and they want to buy at least 6 plants. Is the following graph correct? 

• yes 
• no 

Now you have a graph for the story: Jill and Jack want to improve their yards by planting hostas and ivy.  The cost of one hosta is $8 and the cost of one pot of ivy is $12.  They do not want to spend more than  $60 and they want to buy at least 6 plants. Is the following graph correct? 

• yes 
• no 

The correct graph for the story below is provided in the image. Jill and Jack want to improve their yards by planting hostas and ivy.  The cost of one hosta is $8 and the cost of one pot of ivy is $12.  They do not want to spend more than  $60 and they want to buy at least 6 plants. Which of the following IS a solution to the problem?

• 2 hosta and 3 ivy 
• 6 hosta and 1 ivy 
• 3 hosta and 5 ivy 
• 1 hosta and 6 ivy 

Tom wants to make tables and chairs.  He has a total 150 wooden boards and 350 nails.  A table needs 15 boards and a chair needs 6 boards.  A table also needs 28 nails while a chair requires 25 nails.  Write a system that represents the possible number of tables x, and chairs y, that could be sold to meet these conditions.  

• 15x + 6y ≤ 150 
  28x + 25y ≤ 350
• 15x + 6y ≤ 350
  28x +25y ≤ 150
• 15x + 6y ≥ 150
  28x + 25y ≥ 350
• 15x + 6y ≥ 350
  28x + 25y ≥ 150