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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