The tub started with 15 gallons of water.
Explanation: In the equation y = -3x + 15, the y-variable represents the amount of water remaining. So, the initial amount of water can be found by plugging in x = 0 (initial time) into the equation:
y = -3(0) + 15
y = 15
Therefore, the tub started with 15 gallons of water.
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.
1. Solve for the y-variable.
y – 12 = –3(x – 1)
y – 12 = –3x + 3
y = –3x +15
2. Write the equation using function notation.
f(x) = –3x +15
The tub started with ______ gallons of water.
1 answer