Mathematics
Grade10
Easy

Question

Suppose the demand d, in units sold, for a company’s jeans at a price x, in dollars, is d(x) = 500 - 3x. If revenue=price × demand, write the rule for the function r(x) , which represents the company’s expected revenue in jean sales. If the price is $ 30, how much revenue will the company earn?

  1. r(x) = 500 + 3x , $ 590
  2. r(x) = 500x + 3x, $ 17700
  3. r(x) = 500 - 3x , $ 410
  4. r(x) = 500x - 3x2 , $ 12300

Hint:

revenue = price × demand
r(x) = x × d(x)

The correct answer is: r(x) = 500x - 3x2 , $ 12300


    Given x is the price of jeans and d(x) = 500 - 3x
    revenue = price × demand
    r(x) = x × d(x)
    r(x) = x × (500 - 3x) = 500x - 3x2
    r(30) = 500 × 30 - 3 × (30)= 15000 - 2700 = 12300

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