Warm Up Divide. Round answers to the nearest tenth. 420 23. 3 1. 18 2. 73 3. 5 21 3. 380 23. 8 16 4. 430 23. 9 18
Vocabulary Rate Unit Price Estimate
A rate is a comparison of two quantities measured in different units. For example, the phrase “ 90 miles per 3 hours” can be written. . . Ratio: 90 3 . . . as a ratio like this, Rate: 90 miles 3 hours . . . or as a rate, like this
Unit rates are rates in which the second quantity is 1. The ratio 90 can also be simplified by dividing: 3 90 = 30 3 1 unit rate: 30 miles, or 30 mi/h 1 hour
Class Example Geoff can type 30 words in half a minute. How many words can he type in 1 minute? 30 words 1 minute 2 Write as a rate. 30 words • 2 = 60 words 1 1 minute 2 minute • 2 Multiply to find words per minute. Geoff can type 60 words in one minute.
Partner Practice 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 = 45 words 2 minutes ÷ 2 1 minute Divide to find words per minute. Penelope can type 45 words in one minute.
Individual Practice A piece of gold with a volume of 0. 5 cubic meters weighs 9650 kilograms. What is the density of gold? 9650 kg Write the rate. 3 0. 5 m 9650 kg • 2 0. 5 m 3 • 2 Multiply to find kilograms per 1 m 3. 19, 300 kg 1 m 3 Gold has a density of 19, 300 kg/m 3.
To estimate is to find a value that is close to the actual value, but not necessarily the true value.
Partner Practice Estimate the unit rate. 320 feet 8 seconds 313 Is not divisible by 8, so choose a number close to 313 that is divisible by 8. 40 feet 1 second Divide to find feet per second. 313 feet in 8 seconds 313 feet to 8 seconds is approximately 40 feet per second.
Individual Practice Estimate each unit rate. 583 soccer players to 85 soccer balls. Choose a number 583 players 595 players close to 583 that is 85 soccer balls divisible by 85. Divide to find players per soccer ball. 583 soccer players to 85 soccer balls is approximately 7 players per soccer ball. 7 players 1 soccer ball
Unit price is a unit rate used to compare price per item.
Class Practice 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? Set up price for package $1. 95 number of pens = 5 = $0. 39 proportions for both situations. Divide the price by the number of pens. price for package = $6. 20 $0. 41 number of pens 15 Compare to determine your answer. The 5 -pack for $1. 95 has the lower unit price.
Partner Practice Jamie can buy a 15 oz jar of peanut butter for $2. 19 or a 20 oz jar for $2. 78. Which jar has the lower unit price? price for jar = $2. 19 $0. 15 number of ounces 15 price for jar = $2. 78 $0. 14 number of ounces 20 The 20 oz jar for $2. 78 has the lower unit price.