How do you find a unit rate?

Question

Genesis Amaya · Accepted Answer

#"unit rate" = ("value associated with some collection")/("number of elements in the collection")#

#color(white)("XXXXXXXXXXX")#reduced so the denominator is #1# (a unit)

The "Answer" (above) is easier to understand with some examples. Example 1 If the #"value associated with some collection"# is how much some shirts cost e.g. #$60# and the #"number of elements in the collection"# is #5# shirts, then #color(white)("XXX")"unit rate" = ($60)/5" shirts" = ($12)/"shirt"# or #$12# per shirt. Example 2 Suppose I drove my car #300# miles and used #15# gallons of gas. One way of determining a "unit rate" would be: #"value associated with collection"#: #300# miles. #"number of elements in collection"#: #15# gallons. #color(white)("XXX")"unit rate" = (300" miles")/(15" gallons") =(20" miles")/"gallon"# or #20# miles per gallon. Note that the "unit rate" could have been the reverse of this. That is we might have been looking for a "unit rate" of gallons per mile. I which case we would have #color(white)("XXX")(15" gallons")/(300" miles")=(0.05 " gallons")/"mile"#

Jeremiah Andrews · Answer

undefined To find a unit rate, you divide the quantity being measured by its corresponding unit of measurement. This means expressing the rate as a ratio of one unit of the quantity to one unit of the measurement. For example, if you traveled 60 miles in 2 hours, the unit rate of your speed would be 60 miles divided by 2 hours, which equals 30 miles per hour (60 miles/2 hours = 30 miles/hour). Similarly, if you bought 4 pounds of apples for $8, the unit rate of the cost per pound would be $8 divided by 4 pounds, which equals $2 per pound ($8/4 pounds = $2/pound).