Question

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+

Answer 1

`R(x) = (1.3)^(3x-8)`

Explanation:

Given

`A(x) = (1.3)^(x + 9)`

`B(x) = (1.3)^(4x + 1)`

Required

Ratio B(x) to A(x)

This is calculated as:

`R(x) = B(x) : A(x)`

Express as fraction

`R(x) = (B(x) )/(A(x))`

Substitute:
`A(x) = (1.3)^(x + 9)` and
`B(x) = (1.3)^(4x + 1)`

`R(x) = ((1.3)^(4x+1))/((1.3)^(x+9))`

Apply law of indices

`R(x) = (1.3)^(4x-x+1-9)`

`R(x) = (1.3)^(3x-8)`