Proportionality

The video tutorial explains the concept of analyzing patterns in mathematics, focusing on proportional relationships. It uses examples like counting stars and a dog's running speed to illustrate how proportionality works. The tutorial also covers graphing these relationships and discusses real-world applications such as speed, gas prices, and wages.

How many stars are there in the 5th step of the pattern?

• 25 stars

• 20 stars

• 15 stars

• 10 stars

What is the constant of proportionality in the example of the dog running?

• 2

• 3

• 5

• 4

If a dog runs 12 meters in 3 seconds, what is its speed in meters per second?

• 3 meters per second

• 4 meters per second

• 5 meters per second

• 2 meters per second

In the graph comparing the dog and the cat, why is the cat's line below the dog's line?

• The cat has a higher constant of proportionality.

• The cat runs faster than the dog.

• The cat starts running later than the dog.

• The cat has a lower constant of proportionality.

Which of the following is an example of a constant of proportionality in real life?

• The price of gas per liter

• The number of books in a library

• The height of a mountain

• The number of days in a week