Answer:
Equation: y = 8x + 56
After 5 minutes, the volume of the water was 96 gallons
Step-by-step explanation:
Use y = mx + b to create the linear equation, where m is the slope and b is the y intercept.
Since the water flows in at 8 gallons per minute, 8 will be the slope. The variable x will represent the number of minutes.
There are already 56 gallons of water in the tank, so b will be 56.
Plug in these values into the equation:
y = 8x + 56
So, the linear equation is y = 8x + 56
Using this, plug in 5 as x to find the volume of the water in the sink after 5 minutes:
y = 8x + 56
y = 8(5) + 56
y = 40 + 56
y = 96
So, after 5 minutes, the volume of the water was 96 gallons
