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An experiment observing the growth of two germ strand populations finds these patterns.

• The population of the first germ is represented by the function A(t) = (1-3)*+8.

• The population of the second germ is represented by the function B(x) = (1.3)+2+1.

Which function best represents function R, the ratio of the population of the second germ to the population of the first germ?

OB. R(5)

OA. R(3) = (1.3)65 +10

(2.6)85-8

oc R(x) = (1.3)31–0

OD. R() = (2.6)4+2+

Respuesta :

MrRoyal

Answer:

[tex]R(x) = (1.3)^{3x-8}[/tex]

Step-by-step explanation:

Given

[tex]A(x) = (1.3)^{x + 9}[/tex]

[tex]B(x) = (1.3)^{4x + 1}[/tex]

Required

Ratio B(x) to A(x)

This is calculated as:

[tex]R(x) = B(x) : A(x)[/tex]

Express as fraction

[tex]R(x) = \frac{B(x) }{A(x)}[/tex]

Substitute: [tex]A(x) = (1.3)^{x + 9}[/tex] and  [tex]B(x) = (1.3)^{4x + 1}[/tex]

[tex]R(x) = \frac{(1.3)^{4x+1}}{(1.3)^{x+9}}[/tex]

Apply law of indices

[tex]R(x) = (1.3)^{4x-x+1-9}[/tex]

[tex]R(x) = (1.3)^{3x-8}[/tex]

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