SOLUTION: In 2001, U.S. per capita consumption of bottled water was 18.8 gallons, and in 2006, U.S. per capita consumption of bottled water was 28.3 gallons. Let y be the number of gallons o

Question 872339: In 2001, U.S. per capita consumption of bottled water was 18.8 gallons, and in 2006, U.S. per capita consumption of bottled water was 28.3 gallons. Let y be the number of gallons of bottled water consumed per capita in the U.S. in the year x, where x = 0 represents the year 2001.
(a) Which of the following linear equations could be used to predict the number of gallons of bottled water consumed per capita in the U.S. in a given year x, where x = 0 represents the year 2001?

A. y = 9.5x − 18,990.7
B. y = 9.5x + 18.8
C. y = 1.9x − 3783.1
D. y = 1.9x + 18.8

(b) Use the equation from part (a) to estimate the number of gallons of bottled water consumed per capita in the U.S. in 2014.

(c) Fill in the blanks to interpret the slope of the equation: The average rate of change of bottled water consumed per capita with respect to time is
______________________ per ______________. (Include units of measurement.)

Would you please show the solution? Thanks.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
the y intercept is 18.8
when x=0 then y=18.8
so it is either B or D
the slope is (8.3-18.8)/5=1.9
so it is D)
the slope is the change in consumption per year
Each year it went up 1.9 gallons per person
y = 1.9x + 18.8
43.5 = 1.9(13) + 18.8
43.5 gallons in 2014
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