The following function describes the number of employees working at a company, in thousands, where t represents the number of years since th

Question

The following function describes the number of employees working at a company, in thousands, where t represents the number of years since the company revised the benefits package. f(t)=1.5(.90)^t Select the correct statement.
A. The number of employees is increasing by 50% every year.
B. The number of employees is decreasing by 10% every year.
C. The number of employees is decreasing by 90% every year.
D. The number of employees is increasing by 90% every year.

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Kinsley 3 weeks 2021-09-25T11:18:32+00:00 2 Answers 0

Answers ( )

    0
    2021-09-25T11:19:58+00:00

    Answer:

    the number of employees is decreasing by 10% every year

    Step-by-step explanation:

    f(t)=1.5(.90)^t

    In the given function 1.5 represents the initial number of employees

    Exponential  function in the form of f(x) = a(b)^x

    When the value of b is less than 1 then it is exponential decay

    When the value of b is greater than 1 then it is exponential growth

    Exponential decay factor is 0.90

    1-0.90= 0.10

    0.10 times 100 = 10%

    So the number of employees is decreasing by 10% every year

    0
    2021-09-25T11:20:27+00:00

    Answer:

    The answer is (B)

    Step-by-step explanation:

    Try out each of the situations. It can’t be A, since the 0.9 is less than 1, so it has to be decreasing. This leaves only B and C. Since decreasing by 90 percent is the same as multiplying by 10 percent, the only possible answer left is B.

    Hope this helps!

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