Question 810195: Market research shows that the demand curve for a new game is linear. It was found that there was a demand for 150 units at 35 pesos each and 300 units for 20 pesos. Write the linear equation for the product and find the number of units that will sell at a price of 15 pesos.
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! 150 units at 35 pesos
300 units for 20 pesos
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(35, 150)
(20, 300)
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user the two-point form:
y - y1 = ( (y2 - y1)/(x2 - x1) )(x - x1)
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y - 150 = ( (300 - 150)/(20 - 35) )(x - 35)
y - 150 = ( (150)/(-15) )(x - 35)
y - 150 = (-10)(x - 35)
y - 150 = (-10)x + 350
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y = (-10)x + 500
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at 15 pesos sales will be (approximately, because this is a demand "model"): 350 units
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