Graphing Proportional Relationships

The video tutorial covers the basics of graphs of proportional relationships, starting with a review of plotting points on a coordinate plane. It explains how to identify proportional graphs, emphasizing that they must be straight lines passing through the origin. The tutorial then guides viewers on finding the constant of proportionality using graphs, with practical examples to reinforce learning. The video concludes with exercises to practice determining unit rates and solving proportional problems.

What are the coordinates of point A?

• (2, 4)

• (4, 2)

• (2, -4)

• (-2, 4)

Which axis is horizontal on a coordinate plane?

• Y-axis

• W-axis

• X-axis

• Z-axis

Which graph shows a proportional relationship?

• The graph with a curved line

• The graph with a dotted line

• The graph starting at (5, 0)

• The graph starting at (0, 0)

For a graph to be proportional, it must be a straight line and also pass through which point?

• (0, 0)

• (1, 1)

• (5, 5)

• (10, 10)

What is the first step in finding the constant of proportionality from a graph?

• Find the point where Y is 0

• Find the point where X is 0

• Find the point where Y is 1

• Find the point where X is 1

If you cannot find the point where X is 1 on the graph, what should you do?

• Choose a different point on the graph

• Estimate the value

• Ignore the graph

• Use a different graph

What is the unit rate if the point (1, 15) is on the graph?

• $10 per hour

• $25 per hour

• $20 per hour

• $15 per hour

What is the equation relating wages (W) to hours worked (H) if the unit rate is $15 per hour?

• H = W + 15

• W = 15H

• H = 15W

• W = H + 15

If a plant grows 2 mm per day, how many days will it take to grow 54 mm?

• 25 days

• 28 days

• 26 days

• 27 days

What is the unit rate if the point (5, 6) is on the graph?

• 1.2

• 1.0

• 1.6

• 1.4