Proportional Relationships and Ratios

The video tutorial covers Math 7 Unit 2 Lesson 2, focusing on introducing proportional relationships using tables. It explains the concept of constant proportionality and unit rates, providing practical examples such as recipes and real-world scenarios. The lesson includes practice problems and a summary of key concepts, emphasizing the importance of understanding proportional relationships in various contexts.

What is a constant proportionality?

• A number that is always greater than one.

• A variable that changes with the input.

• A random number used in calculations.

• A fixed number that relates two variables in a proportional relationship.

If 1 case of paper towels contains 12 rolls, how many rolls are in 10 cases?

• 130

• 110

• 120

• 100

How many people can be served with 10 cups of rice if 2 cups serve 6 people?

• 20

• 30

• 35

• 25

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

• 2

• 1/2

• 3

• 1/3

If a bakery uses 8 tablespoons of honey for every 10 cups of flour, what is the constant proportionality?

• 5/4

• 4/5

• 10/8

• 8/10

What is the scale factor if a map with a scale of 1 inch = 30 miles needs to be reduced to fit a brochure with an area of 6 square inches?

• 1:45

• 1:60

• 1:15

• 1:30

How do you calculate the actual area of a park if the map scale is 1 inch = 30 miles and the map area is 24 square inches?

• Multiply 24 by 30

• Multiply 24 by 30 squared

• Divide 24 by 30

• Divide 24 by 30 squared

If 4 quarters are equal to 10 dimes, what is the constant proportionality?

• 2/5

• 10/4

• 5/2

• 4/10

What is the unit rate if 3 cups of red paint are mixed with 7 cups of white paint?

• 1/3

• 7/3

• 1/7

• 3/7

Which of the following ratios is equivalent to 4:7?

• 8:15

• 16:28

• 20:35

• 12:21