Answer:
The required expression is 0.05m+7.25.
Step-by-step explanation:
From the given table it is clear that the line graph of Bailey’s employer pays part-time workers is passes through the points (6,7.55) and (12,7.85).
If a line passes through two points, then the equation of line is
![y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%28x-x_1%29)
The equation of required line is
![y-7.55=\frac{7.85-7.55}{12-6}(x-6)](https://tex.z-dn.net/?f=y-7.55%3D%5Cfrac%7B7.85-7.55%7D%7B12-6%7D%28x-6%29)
![y-7.55=\frac{0.3}{6}(x-6)](https://tex.z-dn.net/?f=y-7.55%3D%5Cfrac%7B0.3%7D%7B6%7D%28x-6%29)
![y-7.55=0.05(x-6)](https://tex.z-dn.net/?f=y-7.55%3D0.05%28x-6%29)
![y-7.55=0.05x-0.3](https://tex.z-dn.net/?f=y-7.55%3D0.05x-0.3)
Add 7.55 on both the sides.
![y-7.55+7.55=0.05x-0.3+7.55](https://tex.z-dn.net/?f=y-7.55%2B7.55%3D0.05x-0.3%2B7.55)
![y=0.05x+7.25](https://tex.z-dn.net/?f=y%3D0.05x%2B7.25)
The required equation of line is
![h=0.05m+7.25](https://tex.z-dn.net/?f=h%3D0.05m%2B7.25)
Where, m is length of employment in months and h is hourly wages in dollar per hour.
Therefore the required expression is 0.05m+7.25.