Earnings Problem Solved Graphically

The video tutorial explains how to solve a problem involving Abby and Ben's earnings using graphing. It starts by defining variables for their earnings and formulating equations based on the given constraints. The tutorial then demonstrates how to graph these equations to find the solution, which is verified to ensure it meets all constraints. Abby earns $30, and Ben earns $20.

What is the total amount Abby and Ben earned together?

• $50

• $60

• $70

• $40

Tags

CCSS.HSA.CED.A.3

If A represents Abby's earnings and B represents Ben's earnings, which equation represents their combined earnings?

• A + B = 40

• A + B = 50

• A + B = 60

• A + B = 70

Tags

CCSS.8.EE.B.5

What is the slope of the line representing the equation A = -B + 50?

• 2

• 0

• -1

• 1

Tags

CCSS.8.EE.B.5

What is the intercept on Abby's axis when Ben earns $0?

• $50

• $30

• $20

• $10

Tags

CCSS.8.EE.B.5

What is the slope of the line representing the equation A = B + 10?

• -1

• 2

• 1

• 0

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the intercept on Abby's axis when Ben earns $0 according to the second equation?

• $50

• $30

• $20

• $10

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

At what point do the two lines intersect?

• Ben earns $40, Abby earns $50

• Ben earns $30, Abby earns $40

• Ben earns $20, Abby earns $30

• Ben earns $10, Abby earns $20

Tags

CCSS.6.EE.B.6

How much more did Abby earn compared to Ben?

• $5

• $10

• $15

• $20

Tags

CCSS.8.EE.C.8C

Does the solution satisfy the condition that Abby earned $10 more than Ben?

• Not enough information

• Yes

• No

• Only for certain values

Tags

CCSS.6.EE.B.8

What are the final earnings of Abby and Ben?

• Abby: $20, Ben: $30

• Abby: $50, Ben: $0

• Abby: $30, Ben: $20

• Abby: $40, Ben: $10

Tags

CCSS.6.EE.B.8