Answer:
[tex]S =\{ \forall x \geq 1,\, x,y \in \mathbb{R} | (x, 8 - 0.20\cdot x) \}[/tex]
Step-by-step explanation:
The volume of water at a given time is modelled after the following expression:
[tex]y = y_{o} - m\cdot x[/tex]
Where:
[tex]y_{o}[/tex] - Original volume of water, in gallons.
[tex]m[/tex] - Water discharge rate, in gallons per minute.
Expression needed to model the system is:
[tex]y = 8\,gal -\left(0.20\,\frac{gal}{min} \right)\cdot x[/tex]
The ordered pairs from the first minute after the can starts dispensing water are:
[tex]S =\{ \forall x \geq 1,\, x,y \in \mathbb{R} | (x, 8 - 0.20\cdot x) \}[/tex]
