Solving Real-World Applications of Quadratic Equations

What types of problems are discussed in the video related to quadratic equations?

• Gardening tips, travel planning, and educational methods

• Cooking recipes, sports strategies, and investment planning

• Weather forecasting, medical diagnosis, and urban planning

• Projectile motion, fence building, and revenue maximization

What is the initial velocity of the rock Regina throws?

• 15 feet per second

• 5 feet per second

• 10 feet per second

• 20 feet per second

At what height is the rock 30 seconds after Regina throws it?

• 200 feet

• Cannot be determined from the given information

• 100 feet

• 150 feet

Which method does the teacher prefer to solve quadratic equations?

• Factoring

• Quadratic formula

• Graphing

• Completing the square

Tags

CCSS.HSA-REI.B.4B

Why does only one of the solutions from the quadratic formula make sense in the context of the projectile problem?

• Because the other time value is negative

• Because the other time value is zero

• Because the other time value is not a real number

• Because the other time value is too large

What is the total length of the fence Katie has available?

• 400 yards

• 300 yards

• 500 yards

• 600 yards

What dimensions maximize the area of Katie's fence enclosure?

• Width: 60 yards, Length: 120 yards

• Width: 50 yards, Length: 150 yards

• Width: 75 yards, Length: 100 yards

• Width: 83.3 yards, Length: 125 yards

How many cookies does Gretchen plan to sell after increasing the price by 25 cents?

• 250 cookies

• 275 cookies

• 300 cookies

• 325 cookies

Tags

CCSS.HSF.LE.B.5

What is the new price per cookie after Gretchen increases it by 25 cents?

• $1.00

• $0.75

• $1.50

• $1.25

Tags

CCSS.6.EE.B.6

What is the vertex formula used to find the maximum area or revenue in quadratic applications?

• -b / a

• b / 2a

• -b / 2a

• b / a