Exploring Non-linear Word Problems in Section 5.2.2

The lesson covers practice problems involving word problems and parabolas. It describes a scenario where Jamal and Dinah accidentally throw food at Harold, leading to a mathematical problem involving parabolas. Students are guided to solve the problem graphically and algebraically to determine Harold's height. The lesson concludes with additional tasks for students.

What event caused Jamal and Dinah to drop their food?

• They tripped over a book on the floor.

• They were running late to class.

• They were playing a game.

• They were distracted by Harold's dance moves.

How high did Jamal's cupcake fly?

• 12 feet

• 24 feet

• 9 feet

• 6 feet

What is the vertex of the parabola for Jamal's cupcake?

• (10, 9)

• (20, 0)

• (24, 6)

• (0, 0)

What is the vertex of the parabola for Dinah's sandwich?

• (12, 6)

• (10, 9)

• (0, 0)

• (24, 0)

What is the general form of the equation for a parabola?

• y = mx + b

• y = ax^2 + bx + c

• y = a(x - h)^2 + k

• y = a(x + h)^2 + k

What values are substituted for h and k in the equation for Jamal's cupcake?

• h = 12, k = 6

• h = 0, k = 0

• h = 20, k = 0

• h = 10, k = 9

What values are substituted for h and k in the equation for Dinah's sandwich?

• h = 10, k = 9

• h = 24, k = 0

• h = 0, k = 0

• h = 12, k = 6

What tool is suggested for solving the equations graphically?

• A ruler

• A protractor

• A graphing calculator or Desmos

• A spreadsheet

What is the final goal of solving the system of equations in this problem?

• To find the distance the food traveled

• To determine the height of Harold

• To calculate the speed of the food

• To find the time it took for the food to land

What additional method is suggested for solving the system of equations besides graphically?

• Using a ruler

• Using a protractor

• Solving algebraically

• Using a spreadsheet