Write an exponential function to model the following situation: A population starting at 740 animals decreases at an annual rate of 12

Question

Write an exponential function to model the following situation: A population starting at 740 animals
decreases at an annual rate of 12%. Use your function to determine about how many animals there will
be after 5 years.
A. 390
B. 150
CC. 680
D. 340

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Thông Đạt 1 year 2021-09-02T02:19:12+00:00 1 Answers 6 views 0

Answers ( )

    0
    2021-09-02T02:20:47+00:00

    Answer:

    A. 390

    Step-by-step explanation:

    An exponential function can be written in the form [tex]f(n)=a\times b^n[/tex], where [tex]a[/tex] is your starting population, [tex]b[/tex] is the factor by which the population increases, and [tex]n[/tex] is the number of terms. In this case, [tex]a=740[/tex], [tex]b=0.88[/tex] because the population decreases by 12 percent (1-0.12=0.88), and [tex]n=5[/tex].

    Thus, [tex]f(5)=740 \times 0.88^5[/tex], which is roughly equal to 390.

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