Ratio and Unit Rate
Points on a coordinate plane
Proportional or not?
Solve the proportion
100

Write the following as a ratio: 

2 dogs to 6 cats

2:6

2/6

100

Slide 5

(3,2)

100

What are the rules in order for a graph to be proportional? 

Straight line

Line must go through origin

y=kx

100

   5          20

-----   =  -----

 8            d

d=32

200

1/2 cup of milk for every 1/4 of sugar

1/2 : 1/4

1/2 / 1/4

200

Slide 6

(3,-4)

200

 1         4

---   =  ---

 2         8

It is proportional!
200

  2            x

-----   =  -----

  7           28

x=8 

300

Slide 3

10

8

300

Slide 7

(-1,2)

300

Slide 1

It is proportional!

300

  5            x

-----   =  -----

 12          36

x=15

400

Slide 4

10

2

400

Slide 8

(3,-5)

400

Slide 2

It is NOT proportional

400

  6           42

-----   =  -----

   p          35

p=5

500

Find the Unit Rate:

165 miles in 3 hours

55 miles in 1 hour

55 : 1

55/1


500

Slide 9

(-1,-5)

500

 1/2           8

------   =  -----

 1/4            4

It is proportional! 
500

Write the ratios as a proportion and find x. 

x:5 and 8:2

  x            8

-----   =  -----

   5            2

x=20

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