You are paying $1,583.45 extra. I don't think it's worth it.
Option B:
is the equivalent expression to the given expression.
Solution:
Given expression:
![$\sqrt[4]{9} ^{\frac{1}{2}x}](https://tex.z-dn.net/?f=%24%5Csqrt%5B4%5D%7B9%7D%20%5E%7B%5Cfrac%7B1%7D%7B2%7Dx%7D)
To find the equivalent expression to the given expression.
![$\sqrt[4]{9} ^{\frac{1}{2}x}](https://tex.z-dn.net/?f=%24%5Csqrt%5B4%5D%7B9%7D%20%5E%7B%5Cfrac%7B1%7D%7B2%7Dx%7D)
Using radical rule: ![$\sqrt[n]{a}=a^{\frac{1}{n}}](https://tex.z-dn.net/?f=%24%5Csqrt%5Bn%5D%7Ba%7D%3Da%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D)
So that
.
![$\sqrt[4]{9} ^{\frac{1}{2}x}=\left(9^{\frac{1}{4}}\right)^{\frac{1}{2} x}](https://tex.z-dn.net/?f=%24%5Csqrt%5B4%5D%7B9%7D%20%5E%7B%5Cfrac%7B1%7D%7B2%7Dx%7D%3D%5Cleft%289%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%5Cright%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%20x%7D)
Using exponent rule: 


![$\sqrt[4]{9} ^{\frac{1}{2}x}=9^{\frac{1}{8}x}](https://tex.z-dn.net/?f=%24%5Csqrt%5B4%5D%7B9%7D%20%5E%7B%5Cfrac%7B1%7D%7B2%7Dx%7D%3D9%5E%7B%5Cfrac%7B1%7D%7B8%7Dx%7D)
Hence
is the equivalent expression to the given expression.
Option B is the correct answer.
To find the y-intercept you first need to set everything equal to y and that will put everything in the y=mx+b line equation. Where m is the slope and b is the y intercept
x+3y = 14 subtract x over
3y = -x+14 divide by 3
y = -1/3x +14
So 14 is the y-intercept of the equation