49. When a store releases a new cell phone to customers, it expects its sales to decrease by 5% each month after the initial month. If the s

Question

49. When a store releases a new cell phone to customers, it expects its sales to decrease by 5% each month after the initial month. If the store sells 682 of a particular phone the first month, which exponential function models this situation x months after the initial month?

A f(x) = 682 • 1.05^x
B f(x) = 682 • 0.05^x
C f(x) = 682 • 0.95^x
D f(x) = 682 • 1.95^x​

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Hải Đăng 4 years 2021-08-15T22:46:45+00:00 1 Answers 18 views 0

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  1. Nho
    0
    2021-08-15T22:47:58+00:00
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    Answer:

    C) f(x)= 682 • 0.95^x

    Step-by-step explanation:

    The formula for Exponential Decrease is given as:

    y = a(1 – r)^x

    Where

    y = f(x)

    a = Initial size of the population = 682

    r = Growth rate = 5% = 0.05

    x = Time is years

    Therefore, our equation can be written as:

    f(x) = 682 × (1 – 0.05)^x

    f(x) = 682 × (0.95)^x

    Therefore, the exponential function that models this situation x months after the initial month is

    option C)

    f(x) = 682 • 0.95^x

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