Tile and Scale Factor Problems

This video tutorial covers proportional relationships and equations in a Grade 7 mathematics context. It includes practice problems involving ceiling tiles, airplane travel, proportional tables, map scales, and scaled polygons. The instructor explains how to find constants of proportionality, solve equations, and verify proportional relationships. The lesson concludes with encouragement to continue learning and making mistakes.

If every square meter of ceiling requires 10.75 tiles, how many tiles are needed for 10 square meters?

• 107.5

• 100

• 75

• 10.75

What is the unit rate of tiles per square meter if 107.5 tiles are needed for 10 square meters?

• 9.75

• 11

• 10.75

• 10

How long will it take an airplane to travel 800 miles if the speed is 500 miles per hour?

• 1.6 hours

• 1.8 hours

• 2 hours

• 1.5 hours

What is the constant of proportionality if 8 divided by 2 equals 4?

• 4

• 2

• 8

• 1

Which equation represents a proportional relationship with a constant of 3.14?

• y = 3.14x

• y = 2x

• y = 4x

• y = 5x

If a map scale is 1 inch to 20 miles, how many inches represent 100 miles?

• 2 inches

• 20 inches

• 10 inches

• 5 inches

Are the scales 1 inch to 20 miles and 1 to 1,267,200 equivalent?

• Yes

• Only for large distances

• No

• Only for small distances

What is the scale factor if a polygon is enlarged from 2 units to 6 units?

• 3

• 2

• 1.5

• 4

If a polygon is reduced by a scale factor of 1/2, what happens to its size?

• It triples in size

• It remains the same

• It doubles in size

• It becomes half its original size

What is the scale factor from polygon B to polygon A if B is 1 unit and A is 6 units?

• 6

• 1

• 3

• 2