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.
Answers
A linear equation to model this situation is 55 + 8(x) = y.
The volume of water in the tank 25 minutes after Baxter begins filling the tank is 255 gallons.
Step-by-step explanation:
The initial volume of water in the tank when Baxter begins to fill = 55 gallons (this quantity of water will remain constant throughout)
The rate of flow of water into the tank = 8 gallons per minute
Step 1:
Let the time of filling of water by Baxter be “x” minutes
Then, let the total quantity of water after Baxter has filled the tank with water for x minute be “y” gallons.
So, we can write the linear equation to model this situation as:-
55 + 8x = y
Step 2:
Now, using the above linear equation we will find the volume of water in the tank 25 minutes after Baxter begins filling the tank which is given as,
= 55 + (8*25)
= 255 gallons
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