bell work write the ratio in simplest form: 18
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Bell Work Write the ratio in simplest form: 18 24 Write the above ratio two other ways. What is the ratio of boys to girls and girls to boys in this class?. 3 4. 3 to 4; 3:4. Rates. - PowerPoint PPT PresentationTRANSCRIPT
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Bell Work
Write the ratio in simplest form: 18 24
Write the above ratio two other ways.
What is the ratio of boys to girls and girls to boys in this class?
34
3 to 4; 3:4
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Rates
A rate is a ratio of two quantities measured in
different units.
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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
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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”
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If it costs $78 for 13 sandwiches, What is the unit rate?
Unit Rate
1378$ each 6$
BACK
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Vocabulary
• A rate is a ratio that compares two quantities measured in different units.
• The unit rate is the rate for one unit of a given quantity. Unit rates have a denominator of 1.
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Comparing Unit Prices
• Use division to find the unit prices of the two products in the question.
• The unit rate that is smaller (costs less) is the better value.
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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.
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Example
Joe’s car goes 25 miles per gallon of gasoline. How far can it go on 8 gallons of gasoline?
25 miles1 gallon
Unit Rate =8 gallons
x 8
x 8
25 x 8 = 200. Joe’s car can go 200 miles on 8 gallons of gas.
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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.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:
Example: 2 liters for $3.80 is $3.80/2 liters = $1.90 per liter
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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
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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.
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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
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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?
$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.
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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
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Heartbeats…
Rate: 150 heartbeats2 minutes
Unit Rate (How many beats per minute)
150 ÷ 2 = 75 heartbeats per minute.
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