The function f(x) = 7(1.32)x models the number, in billions, of the DNA sequences in a database x years since 2010. What does the 1.32 repre

Question

The function f(x) = 7(1.32)x models the number, in billions, of the DNA sequences in a database x years since 2010. What does the 1.32 represent?
A) The annual increase rate in sequences is 32%.
B) The total increase rate in sequences since 2010 is 32%.
C) The increase rate in sequences before 2010 was 32%.
D) The starting number of sequences in 2010 was 1.32 billion.

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Savannah 3 hours 2021-09-10T16:58:32+00:00 1 Answer 0

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    2021-09-10T16:59:41+00:00

    Answer:

    The correct option is (A).

    Step-by-step explanation:

    The function representing the growth of number, in billions, of the DNA sequences in a database x years since 2010 is:

    f(x)=7\cdot (1.32) x

    The general growth function can be represented as:

    y=a\cdot (1+r)^{t}

    Here,

    y = final value

    a = initial value

    r = growth rate

    t = time

    Com-paring the two functions we get:

    1+r=1.32\\r=1.32-1\\r=0.32

    This implies that the annual increase rate in number, in billions, of the DNA sequences is 32%.

    Thus, the correct option is (A).

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45:7+7-4:2-5:5*4+35:2 =? ( )