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(6-1) Ratios and Unit Rate Ratio – a comparison of 2 numbers by division. Ex: 8 out of 23 students have blue eyes. 15 out of 23 students do not have blue eyes So… the RATIO of blue to non-blue eyes is 8 to 15!!! This is a RATIO! It looks like 8:15!!! Ex: Out of 120 students, 60 of them get free lunch. What is the ratio of students who get free lunch to the total number of students?? 60_ = _1_ 120 2 Ex: 3 feet to 16 inches uh oh!! Different units!! You have to make them the same!!! Go with INCHES!! 3 feet is the same as 36 inches, so… __36__ = __9__ 16 4 Rate – a ratio of 2 measurements that have different units. Keywords for RATE: *per *costs *out of *in * of/to Unit Rate – a rate that is simplified so that the denominator is 1!! Examples of Unit Rate – *Dollars per pound (that’s one pound!!) * Miles per gallon (that’s one gallon!!) * Beats per minute (that’s one minute!!) Example ~ Find the Unit Rate: 1. $3.95 for 5 pounds of bananas ~ How much per pound? (one pound) 3.95 ÷ 5 = 0.79 So the unit rate would be $0.79 per pound 2. 100 feet in 14.5 seconds ~ How many feet per second? (one second) 100 ÷ 14.5 = 6.90 feet per second 3. A package of 20 recordable CDs costs $18, and a package of 35 recordable CDs cost $22. Which package has the lowest cost per CD? 18 ÷ 20 = 0.90 per CD 22 ÷ 35 = 0.63 per CD So the unit rate for 35 CDs at $22 is the lower cost per CD.