Graphing and Interpreting Linear Functions

This video tutorial explains how to connect equations with two variables, tables of values, and graphs using a word problem. It demonstrates how to formulate an equation from a real-world scenario, create a table of values, and plot the equation on a graph. The tutorial also covers how to interpret ordered pairs and analyze the graph to find solutions, illustrating the relationship between equations, tables, and graphs.

What are the three main concepts discussed in the video?

• Algebra, geometry, and calculus

• Statistics, probability, and data analysis

• Fractions, decimals, and percentages

• Equations, tables of values, and graphs

In the word problem, how much do you earn per hour?

• $20

• $15

• $5

• $10

What is the initial amount of money you have in your pocket?

• $40

• $30

• $20

• $10

What does the variable 'h' represent in the equation?

• Dollars

• Weeks

• Days

• Hours

What is the equation derived from the word problem?

• d = 5h + 20

• d = 10h + 20

• d = 15h + 20

• d = 20h + 20

Why are negative numbers not used in the table of values?

• Negative numbers are too complex

• You cannot work negative hours

• Negative numbers are not real

• Negative numbers are not allowed in equations

What does the ordered pair (0, 20) represent?

• 0 hours worked and $0 earned

• 0 hours worked and $20 in total

• 20 hours worked and $0 earned

• 20 hours worked and $20 in total

What is the significance of ordered pairs in the context of the equation?

• They are used to calculate percentages

• They are used to find averages

• They are random numbers

• They are possible solutions to the equation

What does the horizontal axis represent in the graph?

• Days

• Hours

• Weeks

• Dollars

What does the vertical axis represent in the graph?

• Hours

• Dollars

• Days

• Weeks