29 Jan 21

29 Jan 21

Proportional Relationships

What is a proportional Relationship

This is when the x and y axis grow at the same rate (speed)

Example

 $\frac{x}{y}\ \ \frac{1}{2}\ \ \frac{2}{3}\ \ \frac{3}{4}\ \frac{4}{5}$  
Notice how the x values go by 1 and the y values go by 1 also.  This is a proportional relationship.

Another Example

 $\frac{x}{y}\ \ \frac{2}{6}\ \ \frac{4}{8}\ \ \frac{6}{10}\ \ \frac{8}{12}$  
Do each of the numbers rise in the same amount each time?

How about now....

 $\frac{x}{y}\ \ \frac{\frac{1}{2}}{2}\ \ \frac{1}{3}\ \ \frac{\frac{3}{2}}{4}\ \ \frac{2}{5}$  
Does the x and the y grow the same?

Multiple Choice

Find the missing number

 $\frac{x}{y}\ \ \frac{2\ \frac{1}{2}}{3}\ \ \frac{2\ \frac{2}{4}}{3.5}\ \ \frac{2\ \frac{4}{8}}{4}\ \ \frac{x}{y}$  

• 2 , 4

• 2 $\frac{1}{3}$  

• 3, 4.5

Sometimes......

They do not always grow at the same rate these are not proportional