Question

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Answer 1

Answer:

The required function is $y=18-4x$ and the graph of the function is shown below.

Step-by-step explanation:

It is given that A vat contains 18 gallons of liquid when a drain pipe opens and the liquid begins to leave the vat at a rate of 4 gallons per hour.

It means the initial liquid in tank is 17 gallons and rate of change is 4 gallons per hour.

y-intercept is (0,18).

Slope is -4.

The liquid in tank is defined by the function

$y=18-4x$              $[\because y=mx+b]$

At y=0 the tank will empty.

$0=18-4x$

$x=4.5$

The x-intercept is (4.5,0).

Therefore the required function is $y=18-4x$ and the graph of the function is shown below.