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Understanding Rates and Unit Prices: A Complete Guide

This guide explains the concept of rates and unit prices, with detailed examples to help you understand how to compare quantities measured in different units. You will learn how to simplify ratios, calculate unit rates, and find the lowest unit price when comparing products. The guide includes practical examples such as typing speed, pricing of pens, and ketchup bottles, illustrating how to easily determine value for money. By mastering these concepts, you'll be better equipped to make informed decisions based on rates and unit costs.

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Understanding Rates and Unit Prices: A Complete Guide

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  1. Rate Movie

  2. Notes A rate is a comparison of two quantities measured in different units. 90 3 Ratio: Read as “90 miles per 3 hours.” 90 miles 3 hours Rate:

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

  4. 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. Divide to find words per minute. 90 words ÷ 2 2 minutes ÷ 2 45 words 1 minute = Penelope can type 45 words in one minute.

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

  6. 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 pack has the lower unit price? 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 5-pack for $1.95 has the lower unit price.

  7. price for bottle number of ounces price for bottle number of ounces 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 bottle has the lower unit price? Divide the price by the number of ounces. $2.19 24 =  $0.09 $3.79 36 =  $0.11 The 24 oz jar for $2.19 has the lower unit price.

  8. Lesson Quick Check: 1. Meka can make 6 bracelets per half hour. How many bracelets can she make per hour? 2. $2.52 for 6 stamps. How much for just 1 stamp? 3. 18 heartbeats in 6 seconds. How many heartbeats in just 1 second?

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