Warm up 1/4/17 Define the following vocabulary in your own words Ratio Rate Unit Rate Proportion (If you find that you can not create a definition please visit my weebly and look at today’s power point.

A ratio is a comparison of two quantities. 90 3 Ratio:

A rate is a comparison of two quantities that have different units. 90 3 Ratio: Read as “90 miles per 3 hours.” 90 miles 3 hours Rate:

Unit rates are rates in which the second quantity is 1. The ratio 90 3 can be simplified by dividing: 90 3 30 1 = 30 miles, 1 hour unit rate: or 30 mi/h

Proportions are equations written in the form a = c b d stating that two ratios are equivalent. 90 3 180 6 =

Additional Example 1: Finding Unit Rates Fred can type 30 words in half a minute. How many words can he type in 1 minute? 30 words minute 1 2 Write a rate. 30 words • 2 minute • 2 1 2 60 words 1 minute Multiply to find words per minute. = Fred can type 60 words in one minute.

Check It Out: Example 1 Penelope can type 90 words in 2 minutes. How many words can she type in 1 minute? 90 words 2 minutes Write a rate. 90 words ÷ 2 2 minutes ÷ 2 45 words 1 minute Divide to find words per minute. = Penelope can type 45 words in one minute.

Unit price is a unit rate used to compare price per item.

Additional Example 4A: Finding Unit Prices to Compare Costs Pens can be purchased in a 5-pack for $1.95 or a 15-pack for $6.20. Which is the better buy? Divide the price by the number of pens. price for package number of pens $1.95 5 =  $0.39 price for package number of pens $6.20 15 =  $0.41 The better buy is the 5-pack for $1.95.

Additional Example 4B: Finding Unit Prices to Compare Costs Jamie can buy a 15-oz jar of peanut butter for $2.19 or a 20-oz jar for $2.78. Which is the better buy? Divide the price by the number of ounces. price for jar number of ounces $2.19 15 =  $0.15 price for jar number of ounces $2.78 20 =  $0.14 The better buy is the 20-oz jar for $2.78.

Check It Out: Example 4A Golf balls can be purchased in a 3-pack for $4.95 or a 12-pack for $18.95. Which is the better buy? Divide the price by the number of balls. price for package number of balls $4.95 3 =  $1.65 price for package number of balls $18.95 12 =  $1.58 The better buy is the 12-pack for $18.95.

Check It Out: Example 4B John can buy a 24 oz bottle of ketchup for $2.19 or a 36 oz bottle for $3.79. Which is the better buy? Divide the price by the number of ounces. price for bottle number of ounces $2.19 24 =  $0.09 price for bottles number of ounces $3.79 36 =  $0.11 The better buy is the 24-oz jar for $2.19.

Try These! 1. Jacob can buy a 32 oz bottle of BBQ sauce for $2.93 or a 36 oz bottle for $3.19. Which is the better buy? 2. John can buy a 8 pencils for $1.25 or a 12 pencils for $2.00. Which is the better buy? 3. Mary made $25.00 for working 7 hours at the mall. How much did Mary make per hour? 4. Lisa paid $158.00 for 3 pair of jeans. What did Lisa pay for each pair of jeans? 5. Bob typed 593 words in 4 minutes. How many words did Bob type per minute?

Try These! Round to nearest hundredth $2.93 / 32 = $0.09 (better buy) $3.19 / 36 = $11.6 2. $1.25 / 8 = $0.16 (better buy) $2.00 / 12 = $0.17 3. $25.00 / 7 hours = $3.57 / Hr 4. $158.00 / 3 pair of jeans = $52.67 / jean 5. 593 / 4 minutes = 148.3 words/minute