Proportional vs Non-Proportional Tables

The video tutorial covers the concept of proportional and non-proportional relationships using tables and graphs. It explains how to determine proportionality through examples, such as boat rental costs and earnings comparisons. The lesson also includes an analysis of elevator ascension rates. Students learn to identify proportional relationships by comparing ratios and converting them into decimals. The tutorial concludes with a summary and homework instructions.

What are the two key characteristics of a proportional relationship when graphed?

• It forms a straight line and does not pass through the origin.

• It forms a straight line and passes through the origin.

• It forms a curved line and does not pass through the origin.

• It forms a curved line and passes through the origin.

In the boat rental problem, what is the total cost for renting a boat for 2 hours?

• $37

• $50

• $62

• $75

When labeling a table, what is typically assigned to the x-axis?

• Distance

• Cost

• Weight

• Time

How do you determine if the ratios in a table are proportional?

• By checking if all the ratios are equal.

• By checking if all the ratios are different.

• By checking if the ratios form a straight line.

• By checking if the ratios form a curved line.

In Matt's earnings table, what is the decimal form of the ratio for 3 hours of work?

• 10.333...

• 12

• 10

• 31

Which of the following represents a proportional relationship in the earnings comparison?

• Neither Matt's nor Jane's earnings

• Both Matt's and Jane's earnings

• Jane's earnings

• Matt's earnings

What is the height ascended by the elevator in 3 minutes?

• 750 feet

• 3000 feet

• 1500 feet

• 2250 feet

What is the decimal form of the ratio for the elevator's ascent in 4 minutes?

• 1500

• 3000

• 2250

• 750

What conclusion can be drawn about the elevator's ascent?

• It is not proportional because the ratios are not equal.

• It is proportional because the ratios are equal.

• It is not proportional because the ratios are different.

• It is proportional because the ratios are different.

What should you do if you want to try question 4 on your own?

• Skip it and move on.

• Ignore the question.

• Ask the teacher for help.

• Use the provided numbers to fill in the table and determine proportionality.