Representing Proportional Relationships

Proportional Equations will be written in the form y = kx.

Example:



Proportional Graphs will be a straight line
and start at the origin, (0,0)



Proportional tables will have the same ratio when you use the formula y/x.

Multiple Choice

What is the unit rate?

• 2

• 2/3

• 3

• 3/2

Jada tracked the number of miles she biked each hour.

The equation represents Jada's trip as well as the table below.

Multiple Choice

If Jada biked for 4 hours, how many miles did she bike?

• 48

• 60

• 72

Multiple Choice

If Jada biked for 6 hours, how many miles did she bike?

• 48

• 60

• 72

Multiple Choice

Which graph represents the description, table, and equation?

All four representations (description, equation table, and graph) have a constant proportionality of 12. This means they all represent the same situation.

Draw

Who is your favorite character?

Netflix recently updated their prices. They charge the same price for everyone who signs up for the basic plan. After, surveying students in her first class Mrs. Smith noticed that Netflix made $120 dollars off the 12 students who have the basic plan.

Multiple Choice

Which equation represents the table?

• x = 10y

• y = 10x

• x = 12y

• y = 12x

Multiple Choice

What is the Unit Rate?

• 10

• 17

• 12

Hotspot

Which graph represents the equation y = 10x?

Multiple Choice

Which table is NOT proportional?

Multiple Choice

Which graph is proportional?

Draw

How are you feeling with proportional relationships?