SOLUTION: ALCOHOL CONSUMPTION The beer consumption by Americans for the years 1960�2005 can be modeled by the equation [ y = -0.0665x^2 + 3.58x + 122 ], where x is the number of years after

Question 812110: ALCOHOL CONSUMPTION The beer consumption by Americans for the years 1960�2005 can be modeled by the equation [ y = -0.0665x^2 + 3.58x + 122 ], where x is the number of years after 1960, and y is the number of ounces of beer consumed per
person in that year. Find the per person consumption in 1960, then ﬁnd in what year the model predicts that consumption will return to that level.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
y = -0.0665x^2 + 3.58x + 122
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Answer 1:
(for x=0) the per person beer consumption in 1960 was 122 ounces
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the above quadratic equation is in standard form, with a=-0.0665, b=3.58, and c=122
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to solve the above equation using the quadratic formula, plug this:
-0.0665 3.58 122
into this: https://sooeet.com/math/quadratic-equation-solver.php
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the roots (solutions) of the above quadratic equation are:
-23.6705229
77.5051094
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in this context, the negative root (-23.6705229) doesn't make sense, so use the positive root (77.5051094)
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Answer 2:
beer consumption should return to the 1960 level in the year 2038
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Solve and graph linear equations:
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Solve quadratic equations, quadratic formula:
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Convert fractions, decimals, and percents:
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Calculate and graph the linear regression of any data set:
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