ANSWER
B. y=8x +1200
Step-by-step explanation
If the family's well pumps on average 8 gallons of water per minute, then the unit rate of change is 8.
This implies that, the slope of the linear equation that models this situation is
![m = 8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/iggv2o3xbq06og6f497wfmr4j44zie3qf7.png)
It was also given that, the well's tank had 1200 gallons of water in the morning.
This implies that the y-intercept of the straight line is
![b = 1200](https://img.qammunity.org/2020/formulas/mathematics/high-school/9whlhvit1yka28lrg90mb537l8hhw7u8qu.png)
The equation is given by:
![y = mx + b](https://img.qammunity.org/2020/formulas/mathematics/high-school/fc4cgm6covys37zv2opmmp9ps4jxyjepvh.png)
We substitute the values to obtain:
![y = 8x + 1200](https://img.qammunity.org/2020/formulas/mathematics/high-school/it273i7f7rcwcb8eqer98x7prweidsdzu2.png)
The amount of water in the tank, y after it has been pumping for x minutes is
![y = 8x + 1200](https://img.qammunity.org/2020/formulas/mathematics/high-school/it273i7f7rcwcb8eqer98x7prweidsdzu2.png)