Bell Work

Write the ratio in simplest form: 18 24

Write the above simplified ratio two other ways.

What is the ratio of boys to girls and girls to boys in this class?

34

3 to 4 and 3:4

Rates

A rate is a ratio of two quantities measured in

different units.

Unit Rate

To find the Unit Rate, you would find the cost or amount for 1. Or the rate when the denominator is 1.

“How much for just 1?”BACK

A unit rate is a rate that has a denominator of 1 unit. The three unit rates are equivalent.15 mi 1 hr

15 mi/h 15 miles per hour

“per” means “for every”

If it costs $78 for 13 sandwiches, What is the unit rate?

Unit Rate

1378$ each 6$

BACK

The "Unit Price" (or "unit cost") tells you the cost per liter, per

kilogram, per pound, etc, of what you want to buy. Just divide the

cost by the quantity.

Just divide the cost by the quantity:

Example: 2 liters for $3.80 is $3.80/2 liters = $1.90 per liter

A store sells the same pasta the following two ways:

10 pounds of bulk pasta for $15.00 2 pounds of packaged pasta for $3.98

Which is the better buy? Find the unit price for both types.

Bulk Pasta: $15.00= $1.50 10 lb 1 lb

Packaged Pasta:

$3.98 = $1.99 2 lb 1 lb

The bulk pasta is the better buy because it costs less per pound.

What is best?

10 pencils for $4.00 or 6 pencils for $2.70 ?

$4.00 / 10 = $0.40 per pencil

Here is the Unit Cost:

$2.70 / 6 = $0.45 per pencil

So the lowest Unit Price (and the best bargain) is 10 pencils for $4.00

ComparingComparing Unit Prices can be a good way of finding which is the "best buy".

Example: What is best? 2 liters of Milk at $3.80, or 1.5 liters of Milk at $2.70 ?In this case the "Unit" is 1 liter, and the Unit Prices are:

$3.80 / 2 liters = $1.90 per liter$2.70 / 1.5 liters = $1.80 per liter

So the lowest Unit Price (and the best bargain) is 1.5 liters at $2.70.

You buy a package of 6 pairs of athletic socks for $8.94. Write this as a unit rate.

$1.49 per pair

A bullet train in Japan can travel 186 miles in 2 hours. Write this as a unit rate.

93 mi/h

Which is the better buy?Cereal: 17 ounces for $3.40 or 14 ounces for $3.08

17 ounces for $3.40

Juice Anyone??

Juice is sold in two different sizes. A 48-fluid ounce bottle costs $2.07. A 32-fluid ounce bottle costs $1.64. Which is the better buy? (Find the unit rate and round to the nearest hundredth.)

$2.0748 fl.oz.

0.043125 $0.04 per fl.oz.

$1.6432 fl.oz.

0.05125 $0.05 per fl.oz.

The 48 fl.oz. bottle is the better value.

Find the Unit RateAmy can read 88 pages in 4 hours. What is the unit rate? (How many pages can she read per hour?)

88 pages4 hours

22 pages / hour

Heartbeats…

Rate: 150 heartbeats2 minutes

Unit Rate (How many beats per minute)

150 ÷ 2 = 75 heartbeats per minute.