Question 44616: 15. Suppose that 6.5 million pounds of coffee are sold when the price is $8 per pound,
and 4.0 million pounds are sold when it is $9 per pound.
(4) a) Determine the ratio of the change in price of coffee to the change in the amount
of coffee sold.
(4) b) Determine the linear equation which models the amount of coffee sold, Y, and
the price per pound of coffee, X.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Suppose that 6.5 million pounds of coffee are sold when the price is $8 per pound,
and 4.0 million pounds are sold when it is $9 per pound.
(4) a) Determine the ratio of the change in price of coffee to the change in the amount of coffee sold.
[6.5 mil - 4 mil]/[8-9)]= -1.5 mil
(4) b) Determine the linear equation which models the amount of coffee sold, Y, and the price of coffee X.
6.5 mil = (-1.5 mil)8 + b
6.5 mil = -12 mill + b
b=18.5 mil
EQUATION:
amt of coffee sold in pounds = -1.5 mil (cost per pound) + 18.5 mil pounds
Y = -1.5 mil (X) + 18.5 mil
Cheers,
Stan H.
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