Proportional Relationships and Ratios

This video tutorial introduces seventh-grade students to proportional relationships using tables. Key terms such as 'constant of proportionality' and 'proportional relationship' are explained. Examples include making chocolate milk, mixing paint, scaling maps, and drawing polygons. The video also covers calculating areas and identifying equivalent ratios.

What is the constant of proportionality if 2 times 3 equals 6, 3 times 3 equals 9, and 5 times 3 equals 15?

• 5

• 2

• 6

• 3

In a proportional relationship, if p equals 4 times s, what is the relationship between p and s?

• p is four times s

• p is half of s

• p is one-fourth of s

• p is equal to s

When making chocolate milk, what is the constant of proportionality if there are 3 tablespoons of chocolate syrup for every 2 cups of milk?

• 1.5

• 3

• 1

• 2

If 3 cups of red paint are mixed with 7 cups of white paint, what is the constant of proportionality for red paint per cup of white paint?

• 1/3

• 7/3

• 3/7

• 3

What is the actual area of a park if the map shows a length of 4 inches and a width of 6 inches, with a scale of 1 inch for every 30 miles?

• 120 square miles

• 180 square miles

• 21,600 square miles

• 3,600 square miles

To fit a map in a brochure with an area of 6 square inches, what should be the new scale if the actual area is 21,600 square miles?

• 1 inch to 90 miles

• 1 inch to 60 miles

• 1 inch to 30 miles

• 1 inch to 120 miles

If polygon P has an area of 5 square units and polygon Q has an area of 45 square units, what is the scale factor applied?

• 2

• 3

• 4

• 5

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

• 12:18

• 10:15

• 8:14

• 14:21

If the ratio 4:7 is multiplied by 5, what is the resulting ratio?

• 10:17

• 15:25

• 20:35

• 25:40

Which of the following is not an equivalent ratio to 4:7?

• 16:28

• 20:35

• 18:30

• 12:21