SOLUTION: A company makes greeting cards and their research shows that that price and demand are related linearly: p=mx+b. They know that for every additional card they wish to sell they

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A company makes greeting cards and their research shows that that price and demand are related linearly: p=mx+b. They know that for every additional card they wish to sell they      Log On


   



Question 1122339: A company makes greeting cards and their research shows that that price and demand are related linearly:
p=mx+b.
They know that for every additional card they wish to sell they need to drop the price by $0.05. They also know that in order to sell 280 cards they need to set the price at $6. Find the linear equation relating price to demand.
p=

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Every additional 1 card sold, price decrease $0.05.
Known point, (6, 280).
x is price, p is ... number of cards sold.

p=-0.05x%2Bb
b=p%2B0.05x
b=280%2B0.05%2A6
b=286

p=-0.05x%2B286


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( I may have mixed up the meaning of the variables . )