Understanding Proportional Relationships

The video tutorial explains how proportional relationships can be represented using equations, tables, and graphs. It demonstrates how to find the constant of proportionality, also known as the slope, and use it to write equations in the form y = mx. The tutorial includes examples of graphing proportional relationships, calculating costs, and applying these concepts to real-world situations like savings accounts and babysitting earnings.

What are the three ways proportional relationships can be represented?

• Equation, diagram, and chart

• Table, chart, and diagram

• Equation, table, and graph

• Graph, chart, and diagram

What is the first step in writing an equation for a proportional relationship?

• Find the constant of proportionality

• Find the y-intercept

• Draw the graph

• Create a table

In the canoe rental example, what is the constant of proportionality?

• 15

• 20

• 12

• 10

How can you identify a proportional relationship from a graph?

• It is a straight line through the origin

• It is a curved line

• It is a vertical line

• It is a horizontal line

What is the constant of proportionality in Miguel's savings account example?

• 10

• 25

• 15

• 20

In the table example, what is the constant of proportionality when X is 1 and Y is 3?

• 4

• 3

• 2

• 1

What is the equation form used to represent proportional relationships?

• y = x + b

• y = x

• y = mx

• y = mx + b

In the hours to miles example, what is the constant of proportionality?

• 3.0

• 2.5

• 3.5

• 2.0

How much does Melissa earn per hour according to the babysitting example?

• $9

• $8

• $7

• $6

What is the equation representing Melissa's earnings?

• y = 8x

• y = 7x

• y = 9x

• y = 6x