Question

A water tank already contains 55 gallons of water when 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 water in the tank 25 minutes after Baxter begins filling the tank.

Answer 1

y=8x+55

255 gallons

Explanation:

Linear equation: y=mx+b

In this equation you can go ahead and start off with your Y intercept (b) which is where you begin and you begin with 55 gallons. As for the m and x section in the linear equation your m is how much it increases at a constant rate in a minute and that will be eight so you can go ahead and put 8 and then X which is the amount of minutes.

To figure out how many gallons there are in 25 minutes you can use the same equation so you can multiply 8 which is the amount of gallons per minute * 25 and that gives you 200 then you can go ahead and add the y-intercept which is 55 and that gives you 255 gallons in 25 minutes.