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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.

Respuesta :

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:

[tex]f(x)=7\cdot (1.32) x[/tex]

The general growth function can be represented as:

[tex]y=a\cdot (1+r)^{t}[/tex]

Here,

y = final value

a = initial value

r = growth rate

t = time

Com-paring the two functions we get:

[tex]1+r=1.32\\r=1.32-1\\r=0.32[/tex]

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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