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 relative change. (express your answer as a percent rounded correctly to the nearest tenth of a percent.)
%

(ii) if bottled water sales are up by 6.7% in 2012 to a total of $11.8 billion, what were the sales in 2011? (express your answer in billions of dollars rounded correctly to the nearest tenth.)
$
11.1
billion

(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

Respuesta :

Using proportions, the estimate of the per capita consumption from 2011 was 29.25 gallons.

What is a proportion?

A proportion is a fraction of the total amount, the measures are related using a rule of three.

The amount in 2012 was an increase of 5.3% from 2011,

105.3% = 1.053 of x,

The consumption per capita was 30.8 gallons,

hence:

1.053x = 30.8

x = 30.8/1.053

x = 29.25 gallons.

(ii) The sales in 2011

= 9.1 billion gallons in 2011.

(iii) The per capita consumption from 2011

= 9.1 / 11.8

= 0.77 billion

More can be learned about proportions at brainly.com/question/24372153

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