Analyzing Linear Relationships through Tables

The video tutorial explains how to define and interpret linear relationships using tables. It covers the concepts of initial value and rate of change, using examples like soda costs, pizza delivery, dance hall rental, and parking spaces. The tutorial emphasizes understanding these concepts through patterns and ratios, highlighting both positive and negative rates of change.

What are the two key components of a linear relationship?

• Rate of change and intercept

• Slope and intercept

• Initial value and rate of change

• Initial value and slope

How is the rate of change calculated?

• By adding the change in input to the change in output

• By dividing the change in output by the change in input

• By multiplying the change in input by the change in output

• By dividing the change in input by the change in output

What is the rate of change for soda costs?

• $1 per pop

• $2 per pop

• $3 per pop

• $4 per pop

What is the initial cost when no pizzas are bought?

• $0

• $5

• $15

• $10

How much does each pizza cost?

• $5

• $20

• $10

• $15

What is the initial cost for renting the dance hall?

• $150

• $250

• $200

• $100

What is the rate of change for parking spaces?

• 10 spaces every 5 people

• 5 spaces every 10 people

• Negative 10 spaces every 5 people

• Negative 5 spaces every 10 people