Representing Proportional Relationships

Representing Proportional Relationships

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Fill in the Blank

Write an equation to represent the table.

Fill in the Blank

Write an equation to represent the table.

(Use # of trees as x and # of apples as y)

Multiple Choice

Which color line represents the proportional equation,

 $y=2x$  

• Blue

• Red

• Green

Multiple Choice

Which color line represents the proportional equation,

 $y=x$  

• Blue

• Red

• Green

Multiple Choice

Which color line represents the proportional equation,

 $y=3x$  

• Blue

• Red

• Green

Fill in the Blank

Justin ran at a constant rate of 3 miles in 24 minutes. Write an equation that shows the relationship between the number of miles run (x) and minutes (y) at the same rate.

Fill in the Blank

A daycare requires a 3 supervisors for every 15 children. Write an equation that shows the relationship between the number of supervisors (x) and the number of children (y).

Multiple Select

I can represent proportional relationships by ​equations, tables, and graphs.

What ordered pairs would be included in the graph of the equation $$y=-2x$$  ?

• (2, 10)

• (1, -2)

• (-3, 6)

• (4, 20)

Multiple Choice

I can represent proportional relationships by ​equations, tables, and graphs.

John drove his car at a constant speed and traveled 100 miles in 2 hours. What equation can be used to represent the number of miles traveled, $$y$$  , and hours drove, $$x$$  ?

• $$y\ =\frac{1}{50}x$$  

• $$y=100x$$  

• $$y=50x$$  

Multiple Choice

I can represent proportional relationships by ​equations, tables, and graphs.

A sprinkler sprays water at a constant rate. It sprayed 3,000 gallons over the course of 3 hours. What equation would represent the relationship between gallons sprayed, $$y$$  , and hours, $$x$$  ?

• $$y=\frac{1}{1000}x$$  

• $$y=1000x$$  

• $$y=\frac{1}{5}x$$  

Multiple Choice

Write the equation that shows the relationship between the gallons, g, and t the time.

• g = 1t

• t = 1g

• t = 5g

• g = 5t

Multiple Choice

The value of y is proportional to x. When x = 3 then y = 15. Which equation represents the relationship between x and y?

• y = 0.2x

• y = 5x

• y = 12x

• y = 45x

Multiple Choice

Match the correct equation to the graph

• y = 90x

• y = 9x

• y = 10x

• y = 2x