interpreting graphs of proportional relationships

interpreting the graphs of proportional relationships

Multiple Choice

What are the coordinates represented in the graph above?

• 1,1

• 12,16

• 16,12

• 1, 16

The constant of proportionality in this graph would be 12/16 or 3/4 or 0.75. We find the constant of proportionality by dividing the dependent value by the independent value.

Open Ended

Tyler was at the amusement park. He walked at a steady pace from the ticket booth to the bumper cars.

The point on the graph shows his arrival at the bumper cars. What do the coordinates of the point tell us about the situation?

Tyler was at the amusement park. He walked at a steady pace from the ticket booth to the bumper cars.

The point on the graph shows his arrival at the bumper cars. What do the coordinates of the point tell us about the situation?

The point tells us that it took him 40 seconds to get 50 meters away from the ticket booth.

Fill in the Blanks

Open Ended

What does the point (0,0) tell you about the situation?

Multiple Choice

How far away from the ticket booth was Tyler after 1 second?

• 1 meter away

• 1.25 meters away

• 12 meters away

• 25 meters away

Turn and talk

what is the constant of proportionality for the relationship between time and distance?

Open Ended

What is the constant of proportionality for the relationship between time and distance? What does this tell you about Tyler's walk?

Open Ended

To the see the image, click it to see it clearer.

What do the points (12, 5) tell you about the water in the bucket?

Let's put what we learned to action!

Multiple Choice

What is the unit rate in this proportional relationship?

• 60 miles/1 hour
• 120 miles/ 2 hours
• 1 mile/ 1 hour

Multiple Choice

• Proportional

• Non-proportional

Multiple Choice

• Proportional

• Non-proportional

Multiple Choice

What is the unit rate for the rain fall?

• 2 cm per hour
• 1 cm per hour
• ¹/₂ cm per hour
• 4 cm per hour

Multiple Choice

Ordered pair (0,0) is also known as the ___.

• y-axis
• x-axis
• origin

Multiple Choice

How do you write an ordered pair?

• (X,X)
• (Y,X)
• (X,Y)
• (Y,Y)

Multiple Choice

Which statement matches the graph?

• Taylor can write 6 words per minute
• Taylor can write 25 words per minute
• Taylor can write 50 words per minute
• Taylor can write 150 words per minute

Multiple Choice

What is the unit rate?

• 80 miles in 1 hours

• 20 miles in 1 hours

• 40 miles in 1 hours

• 160 miles in 1 hours

Multiple Choice

Which of the following rates of change represents the graph shown?

• 2 boys for every 1 girl
• 0.5 boys for every 1 girl
• 6 boys for every 1 girl
• 3 boys for every 1 girl