SOLUTION: Suppose you have a hot dog stand, and when you charge $1 per hot dog you sell 75 hot dogs. But when you raise your price to $2 you only sell 50 dogs. Write an equation for the nu

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Suppose you have a hot dog stand, and when you charge $1 per hot dog you sell 75 hot dogs. But when you raise your price to $2 you only sell 50 dogs. Write an equation for the nu      Log On

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Question 198193: Suppose you have a hot dog stand, and when you charge $1 per hot dog you sell 75 hot dogs. But when you raise your price to $2 you only sell 50 dogs. Write an equation for the number of hot dogs you sell as a function of the price you charge. Use "H" for number of Hot dogs, and "P" for the price you charge for your hot dogs. You can assume the function is linear.
Answer by stanbon(48568) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose you have a hot dog stand, and when you charge $1 per hot dog you sell 75 hot dogs. But when you raise your price to $2 you only sell 50 dogs. Write an equation for the number of hot dogs you sell as a function of the price you charge. Use "H" for number of Hot dogs, and "P" for the price you charge for your hot dogs. You can assume the function is linear.
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Make a list of dogs sold based on price charged:
H------p
($1----75)
($2----50)
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slope = (75-50)/(2-1) = 25
----
intercept = ?
p = mH + b
75 = 25*1 + b
b = 50
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Equation:
p(H) = 25H + 50
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Cheers,
Stan H.