Burger Production and Equation Solutions

This lesson demonstrates solving a real-world problem using a system of equations and an augmented matrix. The scenario involves determining how many of each type of burger to make using given ingredients. The process includes setting up equations, forming an augmented matrix, and using the Desmos matrix calculator to find the solution in reduced row echelon form. The solution reveals the number of each type of burger to make without wasting ingredients.

What is the primary mathematical tool used in this lesson to solve the system of equations?

• Spreadsheet software

• Scientific calculator

• Desmos matrix calculator

• Graphing calculator

Which type of burger uses two buns, three patties, and two slices of cheese?

• Single

• Double with cheese

• Grand slam

• Triple stack

How many buns did you purchase for the party?

• 12

• 19

• 27

• 15

What is the equation for the total number of buns used?

• s + d + 2g = 19

• 2s + d + g = 19

• s + 2d + 3g = 19

• s + d + g = 19

How many slices of cheese are used in a double with cheese?

• None

• Two

• One

• Three

What is the first row of the augmented matrix?

• 2 3 1 19

• 0 1 2 12

• 1 2 3 27

• 1 1 2 19

What does the reduced row echelon form help determine?

• The number of each type of burger to make

• The cost of ingredients

• The time needed to prepare each burger

• The nutritional value of each burger

How many singles should you make according to the solution?

• Four

• Nine

• Seven

• Five

What is the total number of patties used in the system of equations?

• 19

• 15

• 12

• 27

How many grand slams should you make according to the solution?

• Three

• Four

• Five

• Six