Identifying Proportional vs Non-Proportional Relationships

The video tutorial explains proportional and non-proportional relationships, using examples to illustrate how to determine if a situation is proportional by checking for constant ratios. It covers four examples: a basic proportional example, a non-proportional example, an ostrich running scenario, and a pizza ordering situation. The tutorial emphasizes the importance of verifying ratios to ensure accurate predictions and solutions using proportions.

What is a key indicator that a relationship is proportional?

• Values that increase by different amounts

• A constant difference between values

• Values that decrease over time

• A constant ratio between values

In a proportional relationship, what should be true about the ratios of the values?

• They should decrease over time

• They should increase over time

• They should all be the same

• They should all be different

If the ratios of values in a relationship are not constant, what can we conclude?

• The relationship is proportional

• The ratios need to be recalculated

• The relationship is non-proportional

• The values are incorrect

When creating a table of values to check for proportionality, what is the first step?

• Predict future values

• Identify the variables involved

• Check the ratios

• Calculate the total distance

In the ostrich example, what formula is used to determine the relationship?

• Distance = Speed * Time

• Distance = Speed / Time

• Distance = Speed - Time

• Distance = Speed + Time

How do you simplify the ratio 2 over 90?

• 2 over 30

• 1 over 90

• 2 over 45

• 1 over 45

If a relationship is proportional, what can we use to make predictions?

• A random guess

• A variable ratio

• A proportion

• A constant difference

What is the average cost per pizza when ordering two pizzas with a $2.50 delivery charge?

• $6.25

• $7.50

• $5.00

• $8.75

What is the ratio for three pizzas costing $17.50?

• 7.50 over 1

• 5.63 over 1

• 6.25 over 1

• 5.83 over 1

What is the total cost for four pizzas with a $2.50 delivery charge?

• $22.50

• $20.00

• $27.50

• $25.00