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Question 430073: In 1960, the average American disposed of 2.7 pounds of garbage per day, whereas in 2003 this amount was 4.3 pounds per day.
a) Find a linear function "F" that calculates the amount of garbage disposed of by a person in 1960 after "x" days. Find "F (60)" and interpret the result.
b) Repeat part (a) for 2003 with a linear function "g".
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In 1960, the average American disposed of 2.7 pounds of garbage per day, whereas in 2003 this amount was 4.3 pounds per day.
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You have 2 points (0,2.7) and (43,4.3)
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a) Find a linear function "F" that calculates the amount of garbage disposed of by a person "x" years after 1960.
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slope = (4.3-2.7)/(43) = 0.0372
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intercept: 2.7
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Equation:
F(x) = 0.0372x + 2.7 where "x" is the # of years after 1960
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Find "F (60)" and interpret the result.
F(60) = 0.0372*60+2.7 = 4.9326 lbs
That's the predicted amount in the year 1960+60 = 2020
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Cheers,
Stan H.
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b) Repeat part (a) for 2003 with a linear function "g".
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