Exploring Systems of Equations through Tables and Graphs

The video tutorial explores whether college is worth the cost by analyzing systems of linear equations. It compares the financial outcomes of high school and college graduates, considering costs and earnings over time. The analysis includes constructing equations, creating tables, and graphing results to determine when college graduates surpass high school graduates in net earnings. The conclusion highlights that college generally pays off by retirement age, though results vary based on several factors. A discussion prompts viewers to consider causation versus correlation in earnings.

What is the average annual cost of college as mentioned in the video?

• $13,000

• $63,000

• $28,000

• $38,000

How much more do college graduates earn annually compared to high school graduates?

• $30,000

• $25,000

• $20,000

• $15,000

What is the initial net earnings for a high school graduate at age 22?

• $112,000

• $154,000

• $63,000

• $193,000

What is the initial net earnings for a college graduate at age 22?

• -$112,000

• $154,000

• -$154,000

• $112,000

What is the slope of the linear equation for high school graduates' net earnings?

• $63,000

• $25,000

• $38,000

• $28,000

At what age do college graduates surpass high school graduates in net earnings?

• Age 24

• Age 28

• Age 33

• Age 40

Which graphical feature shows the initial net earnings at age 22?

• Intersection point

• X-axis

• Y-intercept

• Slope

Which graphical feature indicates the yearly earnings?

• Slope

• Y-intercept

• X-axis

• Intersection point

What is the net earnings difference between college and high school graduates at age 62?

• $154,000

• $2.4 million

• $1.7 million

• $731,000

What factors can influence the college payoff?

• Major

• School attended

• Scholarships

• All of the above