Question

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

Answer 1

Answer:

$R(x) = (1.3)^{3x-8}$

Step-by-step 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

$R(x) = \frac{B(x) }{A(x)}$

Substitute: $A(x) = (1.3)^{x + 9}$ and  $B(x) = (1.3)^{4x + 1}$

$R(x) = \frac{(1.3)^{4x+1}}{(1.3)^{x+9}}$

Apply law of indices

$R(x) = (1.3)^{4x-x+1-9}$

$R(x) = (1.3)^{3x-8}$