Graphing Proportional Relationships
Equations of Proportional Relationships
Identifying Proportional Relationships
Solve
100

State the vocabulary word for this definition: equation that represents equal ratios

A proportion
100

Is this equation proportional? y= 3x

If so, what is the constant of proportionality (K)?

Yes

k=3

100

Are these ratios proportional? 

Yes 

100

What is the ratio for the Constant of Proportionality?

y/x

200

State the vocabulary word for this definition: a relationship in which two ratios are equivalent.

Proportional or equivalent ratios

200

Is this equation proportional? If so, what is the constant of proportionality? 


y= 4x + 10 

Not proportional 

200

Is the graph a proportional relationship? Why?

NO 

Does not go through the origin

200

What number can replace r to make these ratios equivalent?

r=77

300

What are 2 ways to tell if a graph is proportional? 

-a straight line 

-goes through the origin 

300

Is this equation proportional? If so what is the constant of proportionality? (K=)

y= ¾ x

proportional 

k= 3/4

300

Is the table proportional? 


No


300

Given the table is proportional. Solve for K 


K = 13

400

What is the equation formula for a proportional relationship?

y = kx or y=k*x

400

Write an equation for this proportional graph.

y= 4x

400

Is the table proportional? 


Yes it is proportional 

400

y/x=6/2 

What is this constant of proportionality?

k=3


500

is this graph a proportional relationship ?


Yes

500

Write an equation for the table given the table is proportional. 



Y= 3/2 x

500


a) yes


500

Recipe 1 is given by the equation y = 4x where x represents the cups of lemonade mix and y represents the cups of water.

If Tyler had 16 cups of lemonade mix, how many cups of water would he need for each recipe? Explain how you know.

64 cups of water

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