Mr. Ramsey just finished bathing his kids, and now he is draining the tub. The tub contain gallons of water and is draining at a rate of 3 gallons per minute. Write an equation that shows how the number of gallons remaining \( y \), depends on the number of minutes the tub has been draining, \( x \).
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To express the relationship between the number of gallons remaining \( y \) and the number of minutes \( x \) the tub has been draining, we can start with the initial amount of water in the tub, say \( g \) gallons. The equation that shows how the remaining gallons depend on time can be written as: \[ y = g - 3x \] This equation tells us that for every minute \( x \), the tub loses 3 gallons of water, reducing the total amount from the initial \( g \) gallons. Now, if Mr. Ramsey started with 30 gallons of water, for example, the equation would look like \( y = 30 - 3x \). How fun is it to watch those gallons drain away, minute by minute!
