Presentation on theme: "$25 50 Miles 2 hours 1Hour Lesson 6-2 Rates"— Presentation transcript:
1 $25 50 Miles 2 hours 1Hour Lesson 6-2 Rates Students will be able to solve problems involving rates.$252 hours50 Miles1Hour
2 Simplify rates so the denominator is 1 So the unit rate of 100 words 2 minutes÷Rate: A ratio that compares twoquantities with different kinds of units!2÷Simplify rates so the denominator is 1To simplify rates so the denominator is 1 just divide the numerator by the denominator.50100 ÷ 2 =50 words1 minuteSo the unit rate of 100 words2 minutesisIf the numerator is a decimal that’s okay!
3 Unit Rates Find the unit rate: 24 mi 3h ÷ 3 ÷3 8 mi 1 h Unit Rate: a rate that is simplified so that it hasa denominator of 1 unit!Find the unit rate:24 mi3h÷ 3÷38 mi1 hRead as 8 miles per 1 hour!
4 Found on page 287 in your book! Common Unit RatesFound on page 287 in your book!RateUnit RateAbbreviationNameNumber of miles1 hourMiles per hourMi/h or mphAverage speed1 gallonMiles per gallonMi/gal or mpgGas MileageNumber of dollars1 poundPrice per poundDollars/lb or $/lb.Unit PriceDollars per hourDollars/hr or $/hrHourly wageWhen determining units rates involving Dollars it is generally more helpful to find dollars/ unit!
5 Which is a better buy? $1.28 $2.56 16 oz 64 oz AmountTotal cost16 oz Orange Juice$1.2864 oz Orange Juice$2.56To find the lowest price, find and compare the unit price for each container.How do we set it up as a rate? 16oz OR $1.28$ oz$ $2.5616 oz ozHow do we find the unit rates? Just divide numerator by denominatorDivide the numerator by the denominator!
6 Which is a better Buy continued! .$1.2816 oz8So, the unit price of the 16 oz container is:$.08/oz161.28−128000.$2.5664 oz4What is the unit rate for the 64 oz container?642.56$.04/oz─256000Which is a better buy?
7 First find the unit rate! Kyle ate 12 hot wings in 4 minutes at Wild Buffalo Wings. At this rate how many wings can he eat in 7 minutes?First find the unit rate!÷ 4=12 wings4 minutes3 wings1 minuteNow we know that Kyle can eat 3 wings per minute, so how many can he eat in 7 minutes?What do you do?Multiply the unit rate by 7 minutes!x3 wings1 minute21 wings7 minutes=Divide out the common units!Kyle can eat 21 wings in 7 minutes!