pls help asap! Determine the initial value and decay rate for the equation: f(t) = 12.5 (0.625) ^t

Question

pls help asap!
Determine the initial value and decay rate for the equation:
f(t) = 12.5 (0.625) ^t

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Amelia 5 days 2022-01-14T16:31:43+00:00 1 Answer 0 views 0

Answers ( )

    0
    2022-01-14T16:33:00+00:00

    The initial value is 12.5

    Decay rate is 37.5 %

    Solution:

    Given that equation is:

    f(t) = 12.5(0.625)^t

    We have to find the initial value and decay rate

    The equation for decay is given as:

    y = a(1-b)^x

    Where,

    y is the final amount

    a is the initial value

    b is the rate of decay

    x is the number of years

    On comparing given equation and above general equation,

    a = 12.5

    Thus initial value is 12.5

    Also,

    1-b = 0.625\\\\b = 1-0.625\\\\b = 0.375

    Thus decay rate = 0.375 x 100 = 37.5 %

    Thus decay rate is 37.5 %

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