Proportionality and Scale Factors

This video tutorial covers the concept of proportionality, focusing on finding the constant of proportionality using tables. It explains conversions between centimeters and millimeters, and how to calculate square millimeters in a square centimeter. The tutorial also includes practical examples of calculating travel distances and times using proportionality. Finally, it provides homework problems to reinforce the concepts learned.

What is the constant of proportionality if 30 minutes is equal to half an hour?

• 1

• 2

• 0.25

• 0.5

How do you convert centimeters to millimeters?

• Add 10

• Multiply by 5

• Divide by 10

• Multiply by 10

What is the reciprocal of the constant of proportionality when converting millimeters to centimeters?

• 0.01

• 1

• 10

• 0.1

How many square millimeters are in a square centimeter?

• 50

• 10

• 100

• 1000

If a plane travels 550 miles in one hour, what is its speed in miles per minute?

• 10

• 9.16

• 8.5

• 9.5

What is the scale factor if a map's scale is 1 inch to 50 miles?

• 1:100

• 1:10

• 1:25

• 1:50

How do you find the scale factor squared when given the area of a polygon?

• Add the areas

• Divide the areas

• Subtract the areas

• Multiply the areas

What is the constant of proportionality when converting kilometers to meters?

• 10

• 1000

• 100

• 0.1

Which of the following is a reciprocal relationship?

• 1:5 and 5:1

• 1:10 and 10:1

• 1:100 and 100:1

• All of the above

What is the scale factor if the area of a polygon increases from 5 to 45 square units?

• 6

• 3

• 5

• 9