一道SAT数学题及解析

2022-05-21 05:37:18

  下面是一道

  The projected sales volume of a video game cartridge is given by the function where is the number of cartridges sold, in thousands; is the price per cartridge, in dollars; and is a constant. If according to the projections, cartridges are sold at per cartridge, how many cartridges will be sold at per cartridge?

  Answer Choices

  (A)

  (B)

  (C)

  (D)

  (E)

  The correct answer is C

  Explanation

  Difficulty: Medium

  For cartridges sold at per cartridge, (since is the number of cartridges sold, in thousands) and . Substituting into the equation yields

  Solving this equation for yields

  Sinceis a constant, the function can be written as . To determine how many cartridges will be sold at per cartridge, you need to evaluate . Since is given in thousands, there will be cartridges sold at per cartridge.

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