1. Matrices in the Real World

2. Example 1: Computer Costs Computer Warehouse sells netbook computers for $350, desktops for $500 and laptops for $850. Their competitor, Computers R Us, sells netbook computers for $300, desktops for $600 and laptops for $775. A. Create and label a matrix that represents the prices for Computer Warehouse. NetbooksDesktops Laptops

3. Example 1: Computer Costs Computer Warehouse sells netbook computers for $350, desktops for $500 and laptops for $850. Their competitor, Computers R Us, sells netbook computers for $300, desktops for $600 and laptops for $775. B. Create and label a matrix that represents the prices for Computers R Us. NetbooksDesktops Laptops

4. Example 1: Computer Costs Computer Warehouse sells netbook computers for $350, desktops for $500 and laptops for $850. Their competitor, Computers R Us, sells netbook computers for $300, desktops for $600 and laptops for $775. C. Subtract the matrices to find the difference between the prices of the two stores. NetbooksDesktops Laptops

5. Example 2: Coffee Cafe Cam’s Coffee Café serves coffee with different amounts of caffeine, which is sold in 32 ounce cups. The Good Morning blend combines 25 ounces of caffeinated coffee with 7 ounces of decaf, and sells for $5.60. The Nighty Night blend combines 5 ounces of caffeinated coffee with 27 ounces of decaf and sells for $2.40. What is the customer cost for one ounce of caffeinated coffee and one ounce of decaf? Let x be caffeinated coffee, and y be decaf. Write a linear system to represent the costs 25x + 7y = 5.60

6. Example 2: Coffee Cafe 25x + 7y = 5.60

7. Example 2: Coffee Cafe B A

8. Example 3: Carnival The annual carnival opened at Arbor Place Mall. Jamal attended the carnival the first three nights that it was open. On Monday, Jamal spent $13.25 and rode The Scrambler 3 times, the Tilt-a-Whirl twice and the Bumper Cars one time. He spent the same amount on Tuesday, riding The Scrambler and the Bumper Cars one time each, and the Tilt-a-Whirl 5 times. On Wednesday, Jamal rode the Bumper Cars once but when he felt sick after riding The Scrambler 8 times in a row he went home. He spent $21.50 for his night of fun on Wednesday. Write a system of equations 3x + 2y + z = 13.25 Let x be the Scrambler 8x + z = 21.50 Let y be the Tilt-a-Whirl Let z be the Bumper Cars

9. Example 3: Carnival B A

10. On your own #1 The football concession stand sells hotdogs for $3.50, pretzels for $2.50 and nachos for $3.00. The booster club buys hotdogs for $3.25, pretzels for $1.50 and nachos for $1.75 to sell in the concession stand. A. Create and label a matrix that represents the customer prices for each of the items. B. Create and label a matrix that represents the prices that the booster club buys the items for. C. Subtract the matrices to determine the amount of profit the booster club makes on each item.

11. On your own #1 solution A. B. C. hotdogs pretzels nachos hotdogs pretzels nachos hotdogspretzelsnachos

12. On your own #2 Mama’s Country Catering serves the best meatloaf in town. Mama uses a blend of ground beef and ground pork to make two different versions of her famous 3 pound meatloaf. For the Beefeater, Mama combines 2 pounds of ground beef with 1 pound of ground pork and sells for $13.67. The Porker combines 1.5 pounds of ground beef with 1.5 pounds of ground pork and sells for $13.02. A. Write a linear system to represent the costs. Let x be ground beef, and y be ground pork. B. Write a matrix equation to represent the linear system. C. Find the cost per pound for ground beef and ground pork.

13. On your own #2 solution 2x + y = 13.67

14. On you own #3 Buckets of Blossoms uses roses, daisies, and carnations to make three of their beautiful bouquets. The most expensive bouquet, Rosie, sells for $56.25 and includes 10 roses, 5 daisies and 5 carnations. Daisy-head includes 3 roses, 10 daisies and 3 carnations, and sells for $41.50. The least expensive bouquet sells for $34.00, and includes 2 roses, 2 daisies and 10 carnations. A. Write a system of equations. B. How much does each type of flower cost?

15. On you own #3 solution A. Write a system of equations 10x + 5y + 5z = 56.25 Let x be roses 2x + 2y +10z = 34.00 Let y be daisies Let z be carnations

16. On your own # 3 solution B A