Question

A water tank already contains 56 gallons of water in Baxter begins to fill it. water flows into the tank at a rate of 8 gallons per minute. write a linear equation to model this situation. Find the volume of the water in the sink 5 minutes after Baxter begins filling the tank.

Answer 1

Equation: y = 8x + 56

After 5 minutes, the volume of the water was 96 gallons

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