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21 July, 18:58

Riley buys office equipment with a total price of $6,280 for her new company. If the office equipment depreciates at a rate of 13% each

year, which equation represents the value of the equipment after x years?

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  1. 21 July, 19:23
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    Answer: y = 6280 (0.87) ^x

    Step-by-step explanation:

    If the office equipment depreciates at a rate of 13% each year, then the rate of depreciation is exponential.

    We would apply the formula for exponential decay which is expressed as

    y = b (1 - r) ^x

    Where

    y represents the value of the office equipment after t years.

    x represents the number of years.

    b represents the initial value of the office equipment.

    r represents rate of decay.

    From the information given,

    y = $628

    r = 13% = 13/100 = 0.13

    Therefore, the equation that represents the value of the equipment after x years is

    y = 6280 (1 - 0.13) ^x

    y = 6280 (0.87) ^x
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