Tank Filling and Graph Relationships

The lesson covers graphs of proportional relationships using two tanks filling at constant rates. Tank A fills at 2.2 liters per minute, while Tank B fills faster at 2.75 liters per minute. The concept of slope as a ratio of vertical to horizontal measures is explained. The lesson also discusses expanding graph scales to analyze larger volumes and times, demonstrating that proportional relationships maintain constant ratios. The video concludes with a summary of key points and the importance of understanding proportional relationships.

What does a straight line on a graph of a tank filling with water indicate?

• The tank fills at a variable rate.

• The tank fills at a constant rate.

• The tank is empty.

• The tank is full.

How much water does Tank A fill in one minute?

• 2.2 liters

• 3 liters

• 2.75 liters

• 1.5 liters

What is the slope of Tank B's graph?

• 1.5 to 1

• 3 to 1

• 2.2 to 1

• 2.75 to 1

If Tank A fills 4.4 liters in two minutes, how much does it fill in three minutes?

• 5 liters

• 8 liters

• 6.6 liters

• 7 liters

How long does it take for Tank B to fill 110 liters?

• 50 minutes

• 60 minutes

• 40 minutes

• 30 minutes

What is the time difference for Tank A and Tank B to fill 110 liters?

• 5 minutes

• 10 minutes

• 20 minutes

• 15 minutes

What happens to the graph when the scales are expanded?

• The graph becomes a curve.

• The graph can show larger volumes and times.

• The graph remains unchanged.

• The graph shows less detail.

What is a key property of proportional relationships in graphs?

• They have a constant rate of change.

• They are always curved.

• They never pass through the origin.

• They have varying slopes.

If you double the time for a tank filling at a constant rate, what happens to the volume?

• It halves.

• It triples.

• It doubles.

• It stays the same.

What is the relationship between the coordinates of a proportional graph?

• They are unrelated.

• They have a constant ratio.

• They vary randomly.

• They are always equal.