Question

A tub of water is emptied at a rate of 3 gallons per minute. The equation y-12=36-1) 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 variable
y - 12 = 3x - 1)
3-12-3x+3
yux+15
2 Write the equation using function notation.
FO) = -3r15
The tub started with
gallons of water

Answer 1

The amount of water initially present is 15 gallons.The equation in function notation is : f(x)= -3x +15

Step-by-step explanation:

1. Given the equation as ;

y-12= -3*(x -1)

y-12 = -3x+3

y= -3x+3+12

y= -3x +15

Using a graph tool, the values of the variables are;(0,15) and (5,0) which means

At x=0, the amount of water initially present is 15 gallons

2.Writing the equation using function notation will be;

f(x)=3x+15

Hence at x=0

f(0)= 3*0 +15 = 15

The tub started with 15 gallons of water however as time goes by the level reduces and after 5 minutes, the tab will be empty as explained from the graph which as a negative gradient.

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Function notation :https://brainly.com/question/4519181

Keywords : rate, gallons per minutes, initial amount of water, variable

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Answer 2

Answer:

The tub started with

15

gallons of water.

Step-by-step explanation: