Solving Systems of Equations in Real-World Scenarios

The video tutorial covers solving systems of equations using a real-world problem involving camera rentals. The teacher explains the setup, defines variables, formulates equations, and graphs them to analyze costs. The substitution method is also demonstrated for solving equations. The tutorial concludes with a summary and an assignment for the next class.

Which company charges a higher rental fee?

• None of the above

• Murphy's Camera

• Allied Rental

• Both charge the same

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

What is the independent variable in this problem?

• Total cost

• Daily charge

• Rental fee

• Number of days

Tags

CCSS.6.EE.C.9

What is the dependent variable in this problem?

• Number of days

• Rental fee

• Daily charge

• Total cost

Tags

CCSS.6.EE.C.9

What is the y-intercept for Murphy's Camera?

• $30

• $35

• $45

• $40

Tags

CCSS.8.EE.B.5

What is the slope of the line representing Allied Rental?

• 40

• 45

• 35

• 30

Tags

CCSS.8.EE.B.5

On which days is Murphy's Camera cheaper?

• Days 1 and 2

• Days 3 and 4

• Days 4 and 5

• Days 2 and 3

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

On which days is Allied Rental cheaper?

• Days 2 and 3

• Days 4 and above

• Days 3 and 4

• Days 1 and 2

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

On which day do both companies charge the same amount?

• Day 3

• Day 2

• Day 1

• Day 4

Tags

CCSS.8.EE.C.8C

How much would it cost to rent a camera for three days from either company?

• $130

• $140

• $145

• $135

Which method can be used to find the exact cost if the graph is unclear?

• Elimination

• Trial and error

• Graphing

• Substitution

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6