Understanding Linear Equations in a Real-World Context

The video tutorial presents a scenario at a Parisian cafe where a local buys a coffee and croissant for 5.30 Euro, while two coffees and croissants cost 14 Euro for tourists. The task is to determine the price of each item using linear equations. Variables are defined, and equations are formulated. However, upon solving, it is revealed that the equations are inconsistent, indicating a different pricing for locals and tourists. The tutorial concludes that no solution exists due to the discrepancy in charges.

What was the total cost for the local's purchase at the cafe?

• 5 Euro

• 5.30 Euro

• 14 Euro

• 10.60 Euro

Tags

CCSS.6.EE.B.6

What variables are used to represent the price of coffee and croissant?

• m and n

• x and y

• c and d

• a and b

Tags

CCSS.8.EE.C.8C

What equation represents the local's purchase?

• 2x + 2y = 10.60

• x + y = 5

• x + y = 5.30

• 2x + 2y = 14

Tags

CCSS.8.EE.C.8C

What equation represents your purchase?

• 2x + 2y = 14

• x + y = 14

• x + y = 5.30

• 2x + 2y = 10.60

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the result of multiplying the local's equation by two?

• 2x + 2y = 14

• x + y = 10.60

• 2x + 2y = 10.60

• 2x + 2y = 5.30

Tags

CCSS.8.EE.C.8B

What inconsistency is found when solving the system of equations?

• Both equations are identical

• The equations are dependent

• The equations have no solution

• The equations have multiple solutions

Tags

CCSS.8.EE.C.8C

What does the inconsistency in the equations suggest?

• The prices were the same for everyone

• Different rates for locals and tourists

• You were undercharged

• The local was overcharged

Tags

CCSS.8.EE.C.8B

What is the mathematical result when subtracting the modified local's equation from your equation?

• 0 = 0

• 0 = 3.40

• 5.30 = 14

• 14 = 10.60

Tags

CCSS.RI.8.1

CCSS.RI.9-10.1

CCSS.RL.7.1

CCSS.RL.8.1

CCSS.RL.9-10.1

What is the logical conclusion about the pricing at the cafe?

• Locals pay more

• Prices are random

• Tourists pay more

• Everyone pays the same

Tags

CCSS.8.EE.C.8B

What is the main reason there is no solution to the system of equations?

• Identical equations

• Mathematical error

• Different rates for locals and tourists

• Incorrect equations

Tags

CCSS.8.EE.C.8B