Maps and Scale Factors: Understanding Ratio and Real-World Applications

The video tutorial explains the concept of scale factors, their importance in reducing diagrams to manageable sizes, and their real-world applications in design, architecture, and navigation. It covers how scale factors are used to create models, such as prototype cars and buildings, and how they help in navigation and orienteering. The tutorial provides examples of scale ratios and demonstrates how to solve problems using these ratios, converting measurements between map and real-life distances. The video concludes with a summary of the key points discussed.

What is one real-world application of scale factors mentioned in the video?

• Cooking recipes

• Gardening

• Prototype car design

• Painting

How is a scale factor typically represented?

• 1 to 1

• n to 1

• n to n

• 1 to n

If a map has a scale of 1:25,000, what does 1 centimeter on the map represent in real life?

• 25 meters

• 250 meters

• 2.5 kilometers

• 25 kilometers

In the example of Michael's distance from home, how far is he in real life if he is 6 cm away on the map with a scale of 1:25,000?

• 150 kilometers

• 0.15 kilometers

• 15 kilometers

• 1.5 kilometers

What is the real-life distance between two towns if they are 7 cm apart on a map with a scale of 1:50,000?

• 0.35 kilometers

• 3.5 kilometers

• 350 kilometers

• 35 kilometers

How do you convert a real-life measurement to a model size using a scale factor?

• Add the scale factor

• Subtract the scale factor

• Multiply by the scale factor

• Divide by the scale factor

If a prototype car's wheel measures 3.5 cm on the model with a scale of 1:18, what is the real-life size of the wheel?

• 63 cm

• 6.3 cm

• 3.5 cm

• 35 cm