The number of butterfly gardens in a region, after x years, can be represented by the function g(x) = 5(1.05)x + 1. the approximate number of butterflies in each of these butterfly gardens, in hundreds, after x years, can be represented by the function b(x) = (1.05)8x. which function best describes t(x), the total number of butterflies, in hundreds, in the butterfly gardens in this region, after x years?

Total No of Butter flies in region is .

Step-by-step explanation:

No of Butterfly gardens in a region after x years , G(x) =  

No of Butterflies in a garden after x years , B(x) =  

Total No of Butter flies in region , T(x) = G(x) × B(x)

T(x) =

      =      (using law of exponent: )

      =

Therefore,  Total No of Butter flies in region is .

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

the answer is $42.96

step-by-step explanation: