The following excerpt comes from the International Bottled W

The following excerpt comes from the International Bottled Water Association: \"In 2012, total U.S. bottled water consumption increased to 9.67 billion gallons, up from 9.1 billion gallons in 2011. In fact, 2012\'s consumption growth was the strongest it has been in five years. In addition, per-capita consumption is up 5.3 percent in 2012, with every person in America drinking an average of 30.8 gallons of bottled water last year. Bottled water increased in absolute volume more than any other beverage category in the U.S. Bottled water sales increased by 6.7 percent in 2012, and now total $11.8 billion.\" (i) Quantify the bottled water consumption increase from 2011 to 2012 in terms of absolute change. (Express your answer in billions of gallons rounded correctly to the hundredths place.) billions of gallons (ii) Quantify the bottled water consumption increase from 2011 to 2012 in terms of relative change. (Express your answer as a percent rounded correctly to the nearest tenth of a percent.) % (iii) Estimate the per capita consumption from 2011 from data in the statement. (Express your answer rounded correctly to the nearest tenth of a gallon.) gallons

Solution

(i) Absolute change = Consumption in year 2012- Consumption in year 2011
= (9.67 billion - 9.1 billion ) gallons
   = 0.57 billion gallons
(ii) Realtive Change (in %) = Absolute change *100 / consumption in year 2011
   = 0.57*100 / 9.1
= 6.26%
(iii) Per capita consumption in 2012 = 30.8 gallons
   Increase in consumption = 6.7%
   consumption in 2012 = consumption in 2011* (1+Increase in consumption percentage)

consumption in 2011 = 30.8/1.067
= 28.86 gallons