Question

(1) A water tank already contains 55 gallons of water when Bacter begins to

Water flows into the tank at a rate of 8 gallons per minute. Write a linear equation
model this situation. Find the volume of water in the tank 25 minutes after Bad
begins filling the tank.​

Answer 1

y = 55 + 8x

255 gallons

Explanation:

Let x be the number of minutes the tank is being filled with water.

A water tank

• Already contains 55 gallons of water;
• Water flows into the tank at a rate of 8 gallons per minute;
• In x minutes, 8x gallons flow into the tank.

Hence, the tank will contain 55 + 8x gallons of water.

If y gallons is the volume of water in the tank after x minutes, then

y = 55 + 8x

When x = 25, then

`y=55+8\cdot 25\\ \\y=55+200\\ \\y=255\ gallons`