Proportional Relationships and Constant Proportionality

The video tutorial covers interpreting graphs of proportional relationships, using examples like Tom's drive, Tyler's walk, and seagulls eating garbage. It explains how to identify and calculate constant proportionality, and how to use graphs to represent these relationships. The lesson concludes with a summary and homework assignment to reinforce the concepts learned.

What does the point (16, 12) represent in the context of Tom's drive?

• Tom drove 12 miles in 16 minutes.

• Tom walked 16 miles in 12 minutes.

• Tom walked 12 miles in 16 minutes.

• Tom drove 16 miles in 12 minutes.

What is the constant proportionality (k) for Tyler's walk?

• 2 meters per second

• 0.75 meters per second

• 1.25 meters per second

• 1.5 meters per second

If Tyler wanted to reach the bumper cars in half the time, how would the graph change?

• The line would become steeper.

• The line would remain the same.

• The line would curve.

• The line would become less steep.

In the seagull scenario, what does the constant proportionality (k) tell us?

• One seagull eats 2.5 pounds of garbage.

• One seagull eats 4 pounds of garbage.

• One seagull eats 5 pounds of garbage.

• One seagull eats 10 pounds of garbage.

What is the cost per month for the streaming subscription?

• $8.99

• $7.99

• $6.99

• $9.99

How many grams of almonds are there per cup of oats in the granola mix?

• 30 grams

• 20 grams

• 25 grams

• 35 grams

What is the equation for the cost of the streaming subscription in terms of months?

• C = 8.99 * M

• C = 6.99 * M

• C = 9.99 * M

• C = 7.99 * M

In the friendship bracelet example, how many knots are there in two rows?

• 6 knots

• 3 knots

• 9 knots

• 12 knots

What information is needed to write an equation for a proportional relationship?

• Neither variables nor constant proportionality

• Only the constant proportionality

• Only the variables

• Variables and constant proportionality

What does the point (1, k) represent in a proportional relationship?

• The constant proportionality

• The midpoint of the graph

• The starting point of the graph

• The end point of the graph