Interpret the Graph of a Proportional Relationship

The video tutorial covers a math test prep question on proportional relationships, divided into four parts. It begins with determining if a graph shows a proportional relationship, followed by interpreting the point (3, 90) in context. The tutorial then calculates earnings for 10 hours using the unit rate and concludes with writing an equation to represent the relationship. The video encourages continued learning.

What is a key characteristic of a graph that shows a proportional relationship?

• It is a horizontal line.

• It has a negative slope.

• It passes through the origin.

• It is a curved line.

In the context of Mr. David's earnings, what does the point (3, 90) signify?

• Mr. David earns $30 for 3 hours of work.

• Mr. David earns $3 for 90 hours of work.

• Mr. David earns $90 for 3 hours of work.

• Mr. David works 90 hours to earn $3.

If Mr. David works for 10 hours, how much will he earn based on the graph's unit rate?

• $300

• $400

• $100

• $200

What is the equation that represents the relationship between hours worked and dollars earned for Mr. David?

• y = 10x

• y = 20x

• y = 30x

• y = 40x

What does the constant of proportionality represent in the equation y = 30x?

• The unit rate or earnings per hour.

• The total earnings.

• The number of hours worked.

• The total number of hours.