Graphing Proportional Relationships

The video tutorial covers lesson 5.2 on graphing proportional relationships. It explains the criteria for a graph to be proportional, which includes being a straight line that passes through the origin. The tutorial demonstrates how to graph values from a ratio table and determine if two quantities are proportional using examples. It also covers interpreting graphs to find unit rates and includes practice exercises for students to apply their learning.

What are the two criteria for a graph to be considered proportional?

• It is a straight line and does not pass through the origin.

• It is a curved line and passes through the origin.

• It is a curved line and does not pass through the origin.

• It is a straight line and passes through the origin.

In a ratio table, if the x-value increases by 3 and the y-value increases by 2, what is the constant rate of change?

• 3/2

• 2/3

• 1/2

• 2/1

Which of the following points would you plot first if you have the ratio table values (3, 2), (6, 4), (9, 6), and (12, 8)?

• (9, 6)

• (6, 4)

• (3, 2)

• (12, 8)

If a graph passes through the points (2, 6), (4, 8), and (6, 10), is it proportional?

• No, because it does not pass through the origin.

• Yes, because it is a straight line.

• No, because it is not a straight line.

• Yes, because it has a constant rate of change.

Which of the following points indicates a proportional relationship if plotted on a graph?

• (1, 2)

• (2, 5)

• (4, 9)

• (3, 7)

What does the point (1, 1.5) represent in a proportional relationship graph?

• The unit rate of 1.5 inches per second.

• The total distance traveled.

• The time taken to travel 1.5 inches.

• The starting point of the graph.

How do you find the unit rate from a graph of a proportional relationship?

• By finding the point where x equals 1.

• By measuring the distance between two points.

• By looking at the point (0, 0).

• By calculating the slope of the line.

If the graph of a proportional relationship passes through (12, 16) and (1, y), what is the value of y?

• 1.33

• 16

• 12

• 1

Which person pays an amount proportional to the number of days rented if one pays $1 plus $0.50 per day and the other pays $1.25 per day?

• Both pay proportional amounts.

• Neither pays proportional amounts.

• The person who pays $1.25 per day.

• The person who pays $1 plus $0.50 per day.

What should you do if you don't have graph paper for the practice exercise?

• Use a calculator to find the points.

• Ask the teacher for graph paper.

• Draw your own graph with evenly spaced intervals.

• Skip the exercise.