Proportional Relationships

​Proportional Relationships

​Tables, graphs, and equaitons.

Remember all proportional equations use y = mx

m = the constant

​

To find the constant we use y/x.​

​

​What equation would represent the table?

​

Multiple Choice

Which equation would math this proportional relationship?

• y = 45x

• y = 15x

• y = 30x

• y = 20x

​

​-Has to be a straight line.

​

-Has to go through the origin (0, 0).​

​Does this graph show a proportional relationship?

​

Multiple Choice

Which graph shows a proportional relationship?

• A

• B

• C

• D

-Find a point on the graph.

​

-Use y/x to find the constant.​

​

Create an equation. y = mx​

​

​Identify the constant

​

Multiple Choice

Create an equation for this proportional relationship.

• y = 10x

• y = 20x

• y = 5x

• y = 0.5x

​Ann rode her bike at a constant speed. She rode 3 mile in 21 minutes. Write an equation for minutes per mile.

-Find the unit rate, per means divide.

-Your equation will be set up as y = mx

-m represents your constant or unit rate.

​

y = 7x​

Multiple Choice

Bailey rode her bike at a constant speed. She rode 5 mile in 25 minutes. Write an equation for minutes per mile.

• y = 0.5x

• y = 10x

• y = 0.2x

• y = 5x

• Read the labels for the x and y axis.

• X is at the bottom, Y is on the side.

• All points have an (x, y)

• There are 4 jam jars for every 2 cups of sugar.

​

​Some text here about the topic of discussion.

​What does the point (4,2) mean?

​

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, y)

• (y, x)

• (x, y)

Multiple Choice

What does the point (6, 4) mean on the graph?

• 6 laps in 4 minutes

• 2 laps in 3 minutes

• 2/3 of a lap in 1 minute

• 4 laps in 6 minutes