SOLUTION: the chocolate moose can sell 75 lbs of their huckleberry chocolates per week when they set the price at $6 per pound. but, they can only sell 45lbs in a week if the price is $8 per

Algebra ->  Customizable Word Problem Solvers  -> Unit conversion -> SOLUTION: the chocolate moose can sell 75 lbs of their huckleberry chocolates per week when they set the price at $6 per pound. but, they can only sell 45lbs in a week if the price is $8 per      Log On

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Question 1141629: the chocolate moose can sell 75 lbs of their huckleberry chocolates per week when they set the price at $6 per pound. but, they can only sell 45lbs in a week if the price is $8 per pound. find linear (demand) equation that models the number N of huckleberry chocolates that the chocolate mousse can sell each week at price p dollars
Answer by ikleyn(52847) About Me  (Show Source):
You can put this solution on YOUR website!
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First find the slope of the linear function


    m = %28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29.


In this problem,  y%5B1%5D = 75;  y%5B2%5D = 45;  x%5B1%5D = 6;  x%5B2%5D = 8,

so  m = %2875-45%29%2F%286-8%29 = 30%2F%28-2%29 = -15.



Thus the demand function of price  x  is  d(x) = 75 - 15*(x-6)  pounds of the chocolate moose.


It is the same as  d(x) = 75 + 90 - 15x = 165 - 15x. 



ANSWER.  The demand function of the price x is  d(x) = 165 - 15x  pounds of the chocolate moose.