Acompany has found that the demand for its product varies inversely as the price of the product. when the price x is 3.5 dollars, the demand yy is 450 units. find a mathematical model that gives the demand y in terms of the price x in dollars.

When there is an inverse relationship between y and x, the formula would be:

y = k/x ; where k is constant.

inverse relationship means when one variable increases, the other decreases.

y represents the demand
x represents the price

450 = k/3.5
k = 450 * 3.5
k = 1,575

The mathematical model that gives the demand y in terms of the price x in dollars is:

y = 1575 / x

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