Slope and Proportionality Concepts

The video tutorial covers comparing proportional relationships using various representations such as equations, tables, and graphs. It includes practice problems involving cost comparisons for hauling services, step comparisons between two individuals, analyzing slope triangles, and calculating slopes between points. The tutorial emphasizes understanding unit rates, constant proportionality, and the application of these concepts in real-world scenarios.

What is the constant of proportionality in the equation y = kx?

• The slope of the line

• The y-intercept

• The x-intercept

• The point where the line crosses the y-axis

If Easy Hauling charges $24.50 per cubic yard, how much would it cost to haul 40 cubic yards?

• $980

• $1000

• $960

• $1020

How many steps does Andre take per minute?

• 115 steps

• 125 steps

• 120 steps

• 118 steps

Who takes more steps in five hours, Andre or Priya?

• They take the same number of steps

• Priya

• It cannot be determined

• Andre

What is the slope of a line if the vertical change is 10 units and the horizontal change is 8 units?

• 4/5

• 5/4

• 8/10

• 10/8

In the first triangle, what is the y-coordinate of point D?

• 8

• 7.5

• 5.5

• 6

What is the slope of the second triangle if the vertical change is 4 units and the horizontal change is 6 units?

• 6/4

• 2/3

• 3/2

• 4/6

What is the y-coordinate of point D in the second triangle?

• 5

• 5.5

• 5.67

• 5.33

Which of the following pairs of points has a slope of 2/3?

• (3, 2) and (6, 4)

• (1, 5) and (4, 7)

• (0, 0) and (3, 2)

• (2, 3) and (5, 5)

If a line passes through the points (2, 3) and (5, 5), what is the slope?

• 2/3

• 1/2

• 1

• 3/2