Answer:
The answer the above question is f(x) = x²
So, you need to take the $45 and multiply it by 50%, then take that product and add it to 45.
ATQ
![\\ \sf\longmapsto xy=6050\dots 1](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20xy%3D6050%5Cdots%201)
![\\ \sf\longmapsto 2(x+y)=220\implies x+y=110\dots 2](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%202%28x%2By%29%3D220%5Cimplies%20x%2By%3D110%5Cdots%202)
Now
![\\ \sf\longmapsto (x+y)^2=x^2+y^2+2xy](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20%28x%2By%29%5E2%3Dx%5E2%2By%5E2%2B2xy)
![\\ \sf\longmapsto 110^2-2(6050)=x^2+y^2](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20110%5E2-2%286050%29%3Dx%5E2%2By%5E2)
![\\ \sf\longmapsto 12100-12100=x^2+y^2](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%2012100-12100%3Dx%5E2%2By%5E2)
![\\ \sf\longmapsto x^2+y^2=0\dots(3)](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20x%5E2%2By%5E2%3D0%5Cdots%283%29)
From all equations
![\\ \sf\longmapsto (x-y)^2=x^2+y^2-2xy](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20%28x-y%29%5E2%3Dx%5E2%2By%5E2-2xy)
![\\ \sf\longmapsto (x-y)^2=0-2(6050)](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20%28x-y%29%5E2%3D0-2%286050%29)
![\\ \sf\longmapsto (x-y)^2=-12100](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20%28x-y%29%5E2%3D-12100)
![\\ \sf\longmapsto (x-y)=110\dots(4)](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20%28x-y%29%3D110%5Cdots%284%29)
Now
Adding 3 and 4
![\\ \sf\longmapsto 2x=220](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%202x%3D220)
![\\ \sf\longmapsto x=110m](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20x%3D110m)
One side won't be covered hence
The answer is y + 3 = 1/2 (x - 6)