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24 April, 07:23

An electronics store has two options for liquidating televisions that have not sold.

Option 1: decrease the price of each television by 5% each month

Option 2: decrease the price of each television by $30 each month

Which function shows the difference in price between option 1 and option 2 for a television that originally costs $350, where x is the number of months since the price decreases began?

350 (0.95) ^x + 30x - 350

350 (0.95) ^x - 30x - 350

350 (1.5) ^x - 30x + 350

350 (0.5) ^x + 30x - 350

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  1. 24 April, 09:32
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    Answser: first option 350 (0.95) ^x + 30x - 350

    Explanation:

    You can figure out the function that shows the difference in price between option 1 and option 2 if you make a table simulating the behavior for a few months:

    month price as per option 1 price as per option 2

    start 350 350

    1 350 - 5% (350) = 350 - 30

    = 350 (0,95)

    2 350 (0,95) * (0,95) =

    350 (0,95) ² 350 - 30 (2)

    3 350 (0,95) ³ 350 - 30 (3)

    So now you can figure out the price with each option after x months:

    350 (0.95) ˣ 350 - 30x

    And the difference is 350 (0.95) ˣ - [350 - 30x]

    Which, expanding the square brackets, is 350 (0.95) ˣ + 30x - 350 ↔ the first option.
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