SOLUTION: Solve The butcher sells 80% lean ground beef at $2.80/lb, 90% lean ground beef at $3.00/lb, and 95% lean ground beef at $ 3.25/lb. What is the cost per pound of the totally lean

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: Solve The butcher sells 80% lean ground beef at $2.80/lb, 90% lean ground beef at $3.00/lb, and 95% lean ground beef at $ 3.25/lb. What is the cost per pound of the totally lean      Log On


   

Question 992280: Solve
The butcher sells 80% lean ground beef at $2.80/lb, 90% lean ground beef at $3.00/lb, and 95% lean ground beef at $ 3.25/lb. What is the cost per pound of the totally lean percentage of the beef in each case?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
These are three points for the relation:
(80,2.8),(90,3.0),(95,3.25). The coordinates are percent lean, price per pound.

Check the two neighboring slopes to find if the points fit a line.
system%28%283-2.8%29%2F10%2C0.25%2F5%29,
system%280.2%2F10%2C0.25%2F5%29,
system%281%2F50%2C1%2F20%29.
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The slopes are different, so a line will not be a fit.

You are free to pick another function shape to try to extrapolate what the price could be for 100% lean beef. You can plot the points and try to judge visually if you like.

Also notice that the slopes seem to be getting bigger as percent leanness increases. I did not finish this; the question is at least a bit open-ended.