Mathematics

Question

Dan bought a truck for $29,800. The value of the truck depreciated at a constant rate per year. The table shows the value of the truck after the first and second years: Year 1 2 Value (in dollars) 26,522 23,604.58 Which function best represents the value of the truck after t years? f(t) = 29,800(0.89)t f(t) = 26,522(0.89)t f(t) = 29,800(0.11)t f(t) = 26,522(0.11)t

1 Answer

  • Answer:

    A) f(t) = 29,800(0.89)^t

    Step-by-step explanation:The truck value decreases by 11% each year.

    The present value of the truck was $29,800.

    29,800 x 0.11 = 3,728 dollars lost from value.

    29,800 - 3,728 = 26,522, the value of the truck after one year.

    26,522 x 0.11 = 2,917.42 cash lost from value.

    26,522 - 3,728 = 23,604.58, the value of the truck after two years.

    Therefore, the answer is A) f(t) = 29,800(0.89)^t.

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