Respuesta :

Answer: the arc elasticity percentage change from 80 to 100 is 22%

Step-by-step explanation:

formula for arc-elasticity percentage change is given as;

{ [Xₙ - X₀]  / [ (X₀+Xₙ) / 2] } × 100

X₀ is old value, Xₙis new value

Now from our question

old value X₀ = 80

new value Xₙ = 100

WE SUBSTITUTE

Arc-Elasticity = { [100 - 80]  / [ (80+100) / 2] } × 100

Arc-Elasticity = { [20]  / [ 180 / 2] } × 100

Arc-Elasticity = (20/90)  × 100

Arc-Elasticity = 22.22 ≈ 22%

Therefore the arc elasticity percentage change from 80 to 100 is 22%

In this exercise we have to use the percentage knowledge, in order to calculate the arc elasticity, so:

the arc elasticity percentage is 22%

First, we have that the formula for the elastic arc is:

[tex]([X_n - X_0] / [ (X_0+X_n) / 2] } * 100[/tex]

  • X₀ is old value, Xₙis new value

Informed the exercise data as:

  • old value X₀ = 80
  • new value Xₙ = 100

Substituting the values ​​in the formula given above, we find that:

[tex]Arc-Elasticity = { [100 - 80] / [ (80+100) / 2] } * 100\\Arc-Elasticity = { [20] / [ 180 / 2] } * 100\\Arc-Elasticity = (20/90) *100\\Arc-Elasticity = 22%[/tex]

See more about percentage at brainly.com/question/1691136

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