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

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

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

• 2

• 0

• -1

• 1

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

• $50

• $30

• $20

• $10

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

• -1

• 2

• 1

• 0

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

• $50

• $30

• $20

• $10

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

How much more did Abby earn compared to Ben?

• $5

• $10

• $15

• $20

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

• Not enough information

• Yes

• No

• Only for certain values

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