Constant of Proportionality and Slope

The video tutorial explains the concept of constant proportionality, also known as slope, and how to calculate it using given points. It demonstrates deriving equations and verifying them with different points. The tutorial also explores proportional relationships in a trail mix recipe, focusing on the relationship between raisins and peanuts. The video emphasizes understanding and applying the concept of proportionality in various contexts.

What is the constant of proportionality if the slope is calculated from the points (0,0) and (3, 6/5)?

• 2/5

• 3/5

• 5/6

• 1/2

How do you express the slope when dividing 6/5 by 3?

• 1/3

• 2/5

• 6/15

• 5/6

Which of the following points does not lie on the line y = 2/5x?

• (1, 0.4)

• (1.5, 0.6)

• (6/5, 3)

• (15, 6)

What is the result of 2/5 times 1.5?

• 0.6

• 0.9

• 1.2

• 0.3

If a point (4, 11/5) is tested on the line y = 2/5x, what is the result?

• False

• True

• Cannot be determined

• Depends on x

In the trail mix recipe, what is the ratio of raisins to peanuts?

• 3:4

• 2:3

• 5:7

• 4:6

What is the constant of proportionality if the ratio of raisins to peanuts is 4:6?

• 2/3

• 3/2

• 1/2

• 3/4

Which equation represents a relationship with a constant of proportionality greater than one?

• y = 0.5x

• y = x/2

• y = 2/3x

• y = 3x

How would you graph a relationship with a constant of proportionality less than one?

• Steeper slope

• Shallower slope

• Vertical line

• Horizontal line

What is the equation for a relationship with a constant of proportionality of 2/5?

• y = 5/2x

• y = 2/5x

• y = x/5

• y = 5x