Ladybug Speed and Proportional Relationships

This video tutorial covers understanding proportional relationships, focusing on linear relationships and graph analysis. It begins with an introduction to proportional relationships, followed by a detailed analysis of graphs depicting the movements of a ladybug and an ant. The lesson explains how to calculate constant proportionality and scale graphs, emphasizing unit rates. It also explores the concept of moving at double speed and its graphical representation. The tutorial concludes with a summary and explanation of homework assignments.

What is a key characteristic of a proportional relationship in a graph?

• It forms a curved line.

• It passes through the origin.

• It is always horizontal.

• It has no labels.

If a ladybug travels 4 cm in 2 seconds, what is its speed in cm per second?

• 3 cm/s

• 2 cm/s

• 1 cm/s

• 4 cm/s

How long does it take the ant to travel 12 cm if its speed is 3 cm/s?

• 6 seconds

• 2 seconds

• 3 seconds

• 4 seconds

What is the unit rate for a ladybug traveling 1 cm?

• 1/2 second

• 1 second

• 2 seconds

• 3 seconds

If a new bug moves twice as fast as the ladybug, what is its speed in cm per second?

• 4 cm/s

• 3 cm/s

• 2 cm/s

• 1 cm/s

What is the equation for the line representing the ladybug's movement?

• y = 2x

• y = 1/2x

• y = 1/4x

• y = 1/3x

Why is it important to label axes on a graph?

• To confuse the viewer.

• To make the graph look complex.

• To identify the variables and understand the data.

• To make the graph colorful.

In the homework problem, if Diego bikes twice as fast as Priya, how far does he travel in 1 hour?

• 15 miles

• 20 miles

• 5 miles

• 10 miles

What is the cost per pound of blueberries if 6 pounds cost $16.50?

• $3.00

• $2.75

• $2.50

• $3.25

Which of the following points lies on the line with a slope of 5/8?

• (2, 1)

• (8, 5)

• (4, 6)

• (0, 0)