Bell Work You are the head supervisor at the Shoe Department in Cleveland, Ohio. As tax season has arrived, you are trying to examine the commission amount for each salesman for this month to file your taxes accurately. Here is what we know… ▫ Leigh sold $5,200 in men’s shoes, $4,200 in women’s shoes, and $2,300 in children’s shoes. ▫ Khalid sold $8,100 in men’s shoes, $8,400 in women’s shoes, and $3,100 in children’s shoes. ▫ Ari sold $2,700 in men’s shoes, $7,400 in women’s shoes, and $630 in children’s shoes. ▫ This month’s commission rate is 9.5% for men’s sales, 10% for women’s sales, and 12% for children’s sales. Write down… What do we know? What do we want to know?
Know Lesson Objective… How to apply matrices to real life applications to help us solve problems Want Amount of sales for each employee (by category) Commission rates (by category) Total commission earned by each employee
Step One: Organize Data Sales NameSales in Men’s Shoes Sales in Women’s Shoes Sales in Children’ s Shoes Leigh$5,200$4,200$2,300 Khalid$8,100$8,400$3,100 Ari$2,700$7,400$630 Commission Rate Men’s Sales9.5% Women’s Sales 10% Children’s Sales 12%
Step Two: Create Matrices Dimensions? What does each row represent? What does each column represent? What is my goal?
Step Three: Multiply Matrices Step Four: Analyze Results What does each number represent in our matrix product? Who earned the most in commissions? How do you know? Who earned the least?
Homework… Find the total number of points scored by each team using these charts TeamTouch- downs Extra Points Field Goals Browns ers15126 Saints659 Type of Score Points Touchdown6 Extra Point1 Field Goal3