SOLUTION: A clothing business finds there is a linear relationship between the number of shirts,n,it can sell and the price,p, it can charge per shirt. In particular, historical data shows t

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A clothing business finds there is a linear relationship between the number of shirts,n,it can sell and the price,p, it can charge per shirt. In particular, historical data shows t      Log On


   

Question 1160323: A clothing business finds there is a linear relationship between the number of shirts,n,it can sell and the price,p, it can charge per shirt. In particular, historical data shows that 2000 shirts can be sold at a price of $69, while 10000 shirts can be sold at a price of $13. Give a linear equation in the form p=mn+b that gives the price p they can charge for n shirts.
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
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The slope coefficient is


    m = %2813-69%29%2F%2810000-2000%29 = -0.007.


Therefore, the linear function for the price is


    p = m*(n-2000) + 69 = -0.007*(n-2000) + 69 = (69+0.007*2000) - 0.007*n = 83 - 0.007n.


    m = -0.007,  b = 83.