A tub of water is emptied at a rate of 3 gallons per minute. The equation y - 12 = - 3 (x - 1) models the amount of water remaining, where x is time (in minutes) and y is the amount of water left (in gallons). Analyze the work shown below to determine the initial amount of water.

Question

Mathematics

Walker Hardy

21 January, 22:29

A tub of water is emptied at a rate of 3 gallons per minute. The equation y - 12 = - 3 (x - 1) models the amount of water remaining, where x is time (in minutes) and y is the amount of water left (in gallons). Analyze the work shown below to determine the initial amount of water.

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Atticus Petty · Answer 1

I don't see any work to analyze, but if you want to find the initial amount of water you can do that by rewriting the given equation in slope-intercept form. In this form the y-intercept will represent the initial amount of water.

y - 12 = - 3 (x - 1)

y = - 3x + 3 + 12

y = - 3x + 15 So the initial amount of water was 15 gallons.