Proportional Relationships and Ratios

The video tutorial covers the concept of proportional relationships, explaining how two quantities are proportional if their ratio is constant. It provides examples of proportional relationships, such as speed and earnings, and demonstrates how to identify them using tables and calculations. The tutorial also discusses non-proportional relationships, where the rate varies, and concludes with a brief introduction to writing equations for proportional relationships.

What is a proportional relationship?

• A relationship where one quantity is always greater than the other.

• A relationship where two quantities are unrelated.

• A relationship where the ratio of two quantities changes.

• A relationship where the ratio of two quantities is constant.

Which of the following is an example of a proportion?

• 3 miles in 1 hour is equal to 6 miles in 3 hours.

• 7 miles in 1 hour is equal to 14 miles in 4 hours.

• 2 miles in 1 hour is equal to 4 miles in 2 hours.

• 5 miles in 1 hour is equal to 10 miles in 5 hours.

What does the rate of change describe in a proportional relationship?

• The difference between two quantities.

• The sum of two quantities.

• The total amount of change over time.

• How one quantity changes in relation to another.

How can you verify if two ratios are proportional using cross multiplication?

• By subtracting the numerators from the denominators.

• By adding the numerators and denominators.

• By dividing the numerators by the denominators.

• By checking if the cross products are equal.

If Sam earns $25 per lawn, how much will he earn for mowing 4 lawns?

• $50

• $125

• $75

• $100

Why is Sarah's bracelet sales not a proportional relationship?

• Because the price per bracelet varies.

• Because she sells different types of bracelets.

• Because she sells bracelets at a fixed price.

• Because she sells bracelets only at craft fairs.

What is the key indicator of a proportional relationship?

• An increasing rate of change.

• A decreasing rate of change.

• A variable rate of change.

• A constant rate of change.