Understanding Proportional Relationships

The video tutorial introduces proportional relationships using tables, focusing on scale factors and constants of proportionality. It covers activities involving recipes, bread dough, and currency calculations to illustrate these concepts. The tutorial emphasizes understanding and applying these principles through various examples and problem-solving exercises.

What is a scale factor in the context of proportional relationships?

• A number that adds to each value in a table

• A factor that multiplies values to move from one column or row to another

• A factor that divides values to move from one column or row to another

• A constant value that remains unchanged

How does the constant of proportionality differ from a scale factor?

• It changes with each calculation

• It is used only for addition

• It remains the same across the entire table

• It is used only for subtraction

In a recipe, if 2 cups of rice serve 6 people, how many people will 10 cups serve?

• 20 people

• 15 people

• 30 people

• 25 people

What is the constant of proportionality if 6 spring rolls serve 3 people?

• 1/2

• 1/3

• 3

• 2

If 20 tablespoons of honey require 10/8 cups of flour, how many cups of flour are needed?

• 20 cups

• 16 cups

• 15 cups

• 25 cups

What is the constant of proportionality if 4 quarters equal 10 dimes?

• 4/10

• 2/5

• 5/2

• 10/4

What is the scale factor if a map's scale changes from 1 inch = 30 miles to 1 inch = 60 miles?

• 4

• 1/4

• 2

• 1/2

How do you calculate the area of a park if the map scale is 1 inch = 30 miles and the map measures 4 inches by 6 inches?

• Multiply 4 by 6 and then by 30

• Multiply 4 by 30 and 6 by 60

• Multiply 4 by 6 and then by 900

• Multiply 4 by 30 and 6 by 30

If a polygon's area is scaled by a factor of 3, what happens to its area?

• It remains the same

• It triples

• It doubles

• It increases by a factor of 9

How do you find the equivalent ratio of 4:7?

• Add 3 to both numbers

• Divide both numbers by 2

• Multiply both numbers by 4

• Multiply both numbers by 2