Question

A water tank already contains 55 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 25 minutes after Baxter begins filling the tank.how many minutes will Baxter fill the tank if the maximum volume of water is 395 gallons?

Answer 1

A linear equation can be used to model a situation where a quantity is changing at a constant rate.

Let V be the volume of water in the tank at time t in minutes.

The rate of change of the volume of water is 8 gallons per minute, so we can write the equation as:

V = 55 + 8t

This equation tells us that the volume of water in the tank is 55 gallons when t = 0 (at the start of filling the tank) and it increases by 8 gallons for every minute after that.

To find the volume of water in the tank 25 minutes after Baxter starts filling it, we can plug in t = 25 into the equation:

V = 55 + 8(25)

V = 55 + 200

V = 255 gallons

To find how many minutes it will take to fill the tank to the maximum volume of 395 gallons, we can use the equation and solve for t:

V = 55 + 8t

395 = 55 + 8t

340 = 8t

t = 340/8

t = 42.5 minutes

So it will take 42.5 minutes to fill the tank to the maximum volume of 395 gallons.

Answer 2

Answer:42.5

Explanation:

A linear equation can be used to model this situation, where the volume of water in the tank (V) is equal to the initial volume plus the rate of flow multiplied by the number of minutes (t).

V = 55 + 8t

This equation can be used to find the volume of the water in the tank at a specific time. To find the volume of the water in the tank 25 minutes after Baxter begins filling it, we can substitute 25 for t in the equation:

V = 55 + 8(25) = 55 + 200 = 255 gallons

To find how many minutes it will take for Baxter to fill the tank if the maximum volume of water is 395 gallons, we can use the equation to solve for t.

395 = 55 + 8t

Subtract 55 from both sides:

340 = 8t

Divide both sides by 8:

t = 42.5

So, it will take 42.5 minutes for Baxter to fill the tank with a maximum volume of 395 gallons.