Proportional Relationships and Rates

The video tutorial covers the concept of proportional relationships, explaining how two rates or ratios can be equivalent. It uses a bar diagram to illustrate how to find unit rates and complete a table based on a constant rate of walking. The tutorial also discusses real-world applications of constant rates and analyzes the growth of a bean plant to demonstrate non-proportional rates. Cross multiplication is introduced as a method to determine if two rates are proportional. The lesson concludes with a summary and a preview of the next lesson.

What is a proportion?

• A statement that two rates or ratios are equivalent.

• A comparison of two different units.

• A method to calculate speed.

• A way to measure time.

In the bar diagram, how far does Tala walk in one second?

• 100.8 inches

• 50.4 inches

• 25.2 inches

• 75.6 inches

How do you calculate the distance Tala walks in 5 seconds?

• By subtracting 25.2 from 126.

• By adding 25.2 five times.

• By multiplying 25.2 by 5.

• By dividing 126 by 5.

What is the unit rate of Tala's walking speed?

• 50.4 inches per second

• 25.2 inches per second

• 100.8 inches per second

• 75.6 inches per second

If Tala walks for one minute, how far will she have walked?

• 1512 inches

• 1260 inches

• 1008 inches

• 756 inches

What is a constant rate?

• A rate that changes over time.

• A rate that increases over time.

• A rate that remains the same over time.

• A rate that decreases over time.

How much does the bean plant grow in one day?

• 2.8 centimeters

• 0.5 centimeters

• 1.2 centimeters

• 4 centimeters

Why is the bean plant's growth rate not proportional?

• Because it grows by a constant amount each day.

• Because the growth rate changes each day.

• Because it stops growing after a few days.

• Because it grows faster than Tala walks.

What happens when you cross-multiply two proportional rates?

• The rates increase.

• The products are different.

• The products are the same.

• The rates become non-proportional.

What is the unit rate of the bean plant's growth?

• 4 centimeters per day

• 2.8 centimeters per day

• 1.2 centimeters per day

• 0.5 centimeters per day