Question 677254: A vendor has learned that, by pricing hot dogs at $1.00, sales will reach 142 hot dogs per dat. Raising the price to $2.00 will cause the sales to fall to 90 hot dogs per day. Let Y be the number of hot dogs the vedor sells at X dollars each. Write a linear equation that models the number of hot dogs sold per day when the price is X dollars each.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A vendor has learned that, by pricing hot dogs at $1.00, sales will reach 142 hot dogs per dat. Raising the price to $2.00 will cause the sales to fall to 90 hot dogs per day. Let Y be the number of hot dogs the vedor sells at X dollars each. Write a linear equation that models the number of hot dogs sold per day when the price is X dollars each.
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You have 2 points relating # of dogs(y) and price(x)::
Points: (1,142) and (2,90)
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slope = (142-90)/(1-2) = 52/(-1) = -52
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Form: y = mx + b
Solve for "b":
90 = -52*2 + b
b = 194
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Equation:
y = -52x + 194
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Cheers,
Stan H.
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