Proportions & Rates of Change

Proportions & Rates of Change

Multiple Choice

Is the graph proportional or non proportional?

• proportional

• non proportional

Multiple Choice

Is the graph proportional or non proportional?

• Proportional

• Non-Proportional

Open Ended

List the two things that make a graph proportional.

Multiple Choice

Is this equation y = 14x proportional?

• yes

• no

y = 14x

This equation is in the form of 

 $y=k\times x$ 

The "C.O.P" is 14  (14/1) because

  $k=\frac{y}{x}$  

For each 1 unit you travel in the x direction, you travel 14 units in the y direction

Multiple Choice

Proportional or Non-Proportional?

 $y=4x+5$  

• Proportional

• Non-Proportional

y = 4x + 5

The equation is not proportional so we can not write it in the form of  $y=k\times x$  

It is not proportional because it does not go through the origin (0,0)

Multiple Choice

 $y=9.3x$  is a proportional equation. What is the constant of proportionality of the equation?

• 9.3

• 3

• 9

• 9.3x

An equation is not proportional if there is anything being added to or subtracted from the     " $k\times x$  "

 $y=3x\ +\ 1$                  $y\ =\ 50x$                 $y\ =\ x\ -0$  

Multiple Select

Select all the proportional equations.

• y = 3x

• $j=-\frac{1}{2}h$

• d = 19 - 0.25c

• a = x - 2

• 2.5f = g

Multiple Choice

Does this equation represent a proportional relationship?

• Yes

• No

Multiple Choice

Does this equation represent a proportional relationship?

• Yes

• No