Exploring Non-Proportional Linear Relationships

The video tutorial explores multiple representations of non-proportional relationships. It begins with a verbal description of a taxi fare scenario, converting it into an equation and table, and then graphing the relationship. The tutorial then examines a kite descending, using a table to derive an equation and verbal description, and graphing the data. Key concepts include identifying the rate of change and y-intercept in y=mx+b form, and translating between verbal, tabular, and graphical representations.

What does 'm' represent in the equation y = mx + b?

• The rate of change

• The total cost

• The initial value

• The number of miles

What is the rate of change for the taxi fare scenario?

• $3 per mile

• $2 per mile

• $4 per mile

• $5 per mile

What is the total cost for 4 miles in the taxi scenario?

• $14

• $12

• $11

• $8

At 0 miles, what is the initial cost in the taxi scenario?

• $2

• $5

• $0

• $3

How is the y-axis labeled in the graph of the taxi fare scenario?

• Rate of Change

• Dollars

• Number of Trips

• Miles

What is the y-intercept in the kite descending scenario?

• 20 feet

• 17 feet

• 1.5 feet

• 0 feet

How much does the kite descend per second?

• 2.5 feet

• 2 feet

• 1.5 feet

• 1 foot

What does the slope of -1.5 represent in the kite scenario?

• Wind speed in miles per hour

• Horizontal movement in feet

• Descent rate in feet per second

• Ascent rate in feet per second

How is the x-axis labeled in the graph of the kite's descent?

• Time in seconds

• Height in feet

• Descent rate

• Wind speed

What is the height of the kite at 6 seconds?

• 17 feet

• 14 feet

• 20 feet

• 11 feet