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Question 1021991: A fish market sells sushi-grade tuna having a length of f feet at a price of 4f-2 dollars per foot, meaning that the larger the fish is, the greater its price per foot will be. if the market made $552 selling a single tuna, what was the length of the fish?
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! A fish market sells sushi-grade tuna having a length of f feet at a price of 4f-2 dollars per foot, meaning that the larger the fish is, the greater its price per foot will be.
if the market made $552 selling a single tuna, what was the length of the fish?
:
multiply the length of the fish by the cost per pound
f(4f-2) = 552
a quadratic equation
4f^2 - 2f - 552 = 0
simplify, divide by 2
2f^2 - f - 276 = 0
use the quadratic formula; a=2; b=-1; c=-276, but this will factor to
(2f + 23)(f - 12) = 0
The positive solution
f = 12 ft is length of that tuna
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