Question 1081987: Your friend's weekly revenue R (in dollars) from her tie-dye T-shirt business can be modeled by R = -2t^2 + 37t+60 where t represents the week of sales, with t=0 for the first week. In the first week, 3 T-shirts were sold. After that, the sales increased by 2 T-shirts per week. Did the price of T-shirts remain constant during the 8-week summer season? Explain.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Your friend's weekly revenue R (in dollars) from her tie-dye T-shirt business can be modeled by R = -2t^2 + 37t+60 where t represents the week of sales, with t=0 for the first week. In the first week, 3 T-shirts were sold. After that, the sales increased by 2 T-shirts per week. Did the price of T-shirts remain constant during the 8-week summer season? Explain.
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1st weeK DATA:: # sold = 3 ; Revenue = R(0) = 60 ; price = 60/3 = 20
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2nd week DATA:: # sold = 5 ; Revenue = R(1) = -2+37+60 = 95 ; price = 95/5 = 19
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Answer:: Price did not remain constant
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Cheers,
Stan H.
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