For this case we have that by definition, the equation of a line in the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
We have the following points:
Substituting the values:
Thus, the line is of the form:
We substitute one of the points and find "b":
Finally we have to:
Answer:
The equation es
Answer:
The required function is 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
At y=0 the tank will empty.
The x-intercept is (4.5,0).
Therefore the required function is and the graph of the function is shown below.
