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this is a lecture from open tuition to benefit from the lecture you should download the free lecture notes from open tuition comm next numbers and as it says in the introduction to the chapter the purpose is to show the rate of change of a variable from one specified time to another which sounds terribly exciting but the most common use is to measure the effect of inflation on prices and to show you what I mean look at example 1 it says the price of coffee was $2 for tea in 2006 it was $2 50 in 2007 the same jar of coffee had gone up in 2008 to $2 60 so far you can see the price is rising but if I told you that tea oh I dont know the price of tea but suppose it a package of tea used to cost 80 cents in 2006 and went up to 90 cents in 2007 and went up to $1 10 in 2008 well its not immediately obvious which one is going up more because obviously they started with different prices the tea here is always cheaper than coffee but which one went up the most in 2007 you know percentage term