Distance and Time Relationships

The lesson covers the relationship between distance and time for an object moving at a constant speed. It explains how to create a table, graph, and equation to represent this relationship, using a scenario where Joseph walks his dogs at a constant speed. The lesson also discusses independent and dependent variables, and how to plot points on a graph to verify the equation. The key takeaway is understanding how to represent and analyze the relationship between distance and time.

What are the main goals of today's lesson?

• To study the properties of water

• To explore the history of mathematics

• To understand the relationship between distance and time

• To learn about different types of animals

How fast does Joseph walk his dogs?

• 4 miles per hour

• 5 miles per hour

• 3 miles per hour

• 2 miles per hour

How far does Joseph walk in half an hour?

• 2 miles

• 2.5 miles

• 1.5 miles

• 1 mile

What is the independent variable in the graph?

• Distance

• Time

• Temperature

• Speed

What is the dependent variable in the graph?

• Temperature

• Time

• Distance

• Speed

How is the relationship between distance and time represented on the graph?

• As a straight line

• As a zigzag line

• As a curved line

• As a dotted line

What equation represents the distance Joseph walks?

• d = 2t

• d = 5t

• d = 4t

• d = 3t

If Joseph walks for 2 hours, how far does he walk?

• 7 miles

• 5 miles

• 4 miles

• 6 miles

What is the unit rate given in the problem?

• 5 miles per hour

• 4 miles per hour

• 2 miles per hour

• 3 miles per hour

How can you verify the correctness of the distance equation?

• By asking a friend

• By using the table and graph

• By comparing with a map

• By checking the weather