Graph Behavior in Varying Containers

This video tutorial covers the concept of directly proportional graphs, using examples such as Lucy's pay and conversions between pounds and kilograms. It explains the characteristics of these graphs, including their straight-line nature through the origin. The video also explores graphs related to volume and rate, particularly how water fills containers of different shapes, and how to interpret graphs of complex-shaped containers.

What is the constant rate at which Lucy is paid per hour?

• 12 euro

• 10 euro

• 15 euro

• 20 euro

What is a key characteristic of directly proportional graphs?

• They are vertical lines

• They pass through the origin

• They are horizontal lines

• They curve upwards

When using a graph for conversions, what must you be cautious about?

• The size of the graph

• The accuracy of the graph

• The color of the graph

• The type of graph paper

How many kilograms is 20 pounds approximately equal to, according to the graph?

• 11 kg

• 8 kg

• 9 kg

• 10 kg

What happens to the graph when water is poured into a cylindrical container at a steady rate?

• It forms a curve

• It becomes a horizontal line

• It becomes a vertical line

• It remains a straight line

How does the width of a container affect the steepness of the graph?

• Wider containers make the graph steeper

• Narrower containers make the graph steeper

• Width does not affect the graph

• Both wide and narrow containers have the same effect

What is the effect on the graph when a container has a bulge?

• The graph becomes a vertical line

• The graph becomes a horizontal line

• The graph forms a curve

• The graph becomes a straight line

Which container will have a steeper graph, a narrow or a wide one?

• Narrow container

• Wide container

• Both have the same steepness

• Neither affects the steepness

What happens to the graph when the container's width is not constant?

• It becomes a vertical line

• It becomes a horizontal line

• It forms a curve

• It remains a straight line

In a container with varying width, what does the middle section of the graph represent?

• A horizontal line

• A curve

• A straight line

• A vertical line