L3 Review - Proportional Relationships (k, tables,equations)

L3 Review

Proportional Relationships

(tables, k, equations)

Get your study on!

Proportional Relationships

Let's test your knoweldge on a few topics before we crunch some numbers!

Multiple Choice

Is this car proportional?

• Yes

• No

Multiple Choice

Are all the ratios in the table equivalent?

• Yes

• No

Multiple Choice

Are the girls thumbs proportional?

• Yes

• No

Constant of Proportionality

• A number that shows the proportional relationship between two amounts (x and y)

• Also called: a constant ratio, unit rate, scale factor, constant multiplier

• We can find the constant using the equation

   $k=\frac{y}{x}$  

Multiple Choice

What is the equation used to find the constant of proportionality?

• $k=\frac{y}{x}$

• $y=kx$

• A = LxW

• y = x

Multiple Choice

The constant of proportionality (k) is the unit rate in a proportional relationship.

• True

• False

Finding the constant of proportionality in a table...

• by using the equation

   $k=\frac{y}{x}$  

• when the x value times the constant of proportionality is the y value in the whole table

Multiple Choice

What is the constant of proportionality? (k)

• k=2

• k=4

• k=6

• k=8

Multiple Choice

What is the constant of proportionality? (k)

• k=2

• k=4

• k=6

• k=8

Multiple Choice

What is the constant of proportionality? (k)

• k=1/3

• k=1/4

• k=1/2

• k=1/6

Multiple Choice

Is the relationship proportional or non-proportional?

• proportional

• non-proportional

Multiple Choice

Is the relationship proportional or non-proportional?

• proportional

• non-proportional

Multiple Choice

Is the relationship proportional or non-proportional?

• proportional

• non-proportional

Multiple Choice

Which table below shows the correct values in RED.

Writing an Eqation for a Proportional Relationship

• The relationship MUST be proportional to write an equation in the form

   $y=kx$  

• k is the constant 

• Use substitution when the constant is 16, then the equation is y = 16x

• Use substitution when the constnat is 23, then the equation is y=23x