Rate Tables

Go to www.learnzillion.com and enter this code: LZ841  This will be helpful.

Let's look at a cost of an item.  If 48 oz juice bottle costs $4.00, what is the price per ounce?  How much would other amounts be?  Let's use a table.

Ounces	48	12	1	24	96	72	480
Price	$4

This means that for every 48 oz I will pay $4.  We can fill in the rest by using equivalent ratios.

Notice that 48 is larger than 4 and on the top row.  This means that no number on the bottom row should be larger than the one on the top.  Now to fill in the blanks, lets use equivalent fractions.

48      12

---- =  -----

4        

I do not know what the bottom number is.  However, I can use factors or fact families to determine what I need to do to get to 12 from 48.  I know:

12 x 4 = 48

4 x 12 = 48

So I also know:

48 ÷ 12 = 4

48 ÷ 4 = 12

SOOOOOO……

48 ÷ 4        12

-----      =   -----

4 ÷ 4           1

So 12 ounces is equal to $1.

Ounces	48	12	1	24	96	72	480
Price	$4	$1

The same principle applies to all of the numbers.

48        1

---- =  -----

4        

What do I need to get to 1 from 48?  Divide the top and bottom by 48!

48 ÷ 48           1                1

-----      =      -----     =      -----

4 ÷ 48           4/48             0.0833

So we would round to $0.08, or 8 cents.

Ounces	48	12	1	24	96	72	480
Price	$4	$1	0.08

The completed table:

Ounces	48	12	1	24	96	72	480	144
Price	$4	$1	$0.08	$2	$8	$6	$40	$12