A company has found that the demand for its product varies inversely as the price of the product. When the price x is 4.5 dollars, the demand y is 400 units. How do you find a mathematical model that gives the demand y in terms of the price x in dollars?

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Answer 1 · 2016-04-05T16:40:22

Mathematical model equation for demand of company's product is given by the equation #d=1800/p#.

Let demand for company's product #d# vary inversely with its price #p#, which means

#dprop(1/p)# or #d=kxx(1/p)=k/p#.......(A)

As when #p=4.5#, #d=400#

Putting these in (A), we get #400=k/4.5#

Hence #k=400xx4.5=1800 and our model equation is

#d=1800/p#