Answer:
The integer that representes the draining of 15 gallons of water from a fish tank is [tex]\Delta V = V_{f} - V_{o} = -15\,gal[/tex]
Step-by-step explanation:
The gallon is a capacity (volume) units. The draining means that a part of the tank capacity occupied by water is removed. Then, the change in tank capacity is equal to a negative integer. That is:
[tex]\Delta V = V_{f} - V_{o} = -15\,gal[/tex]
Where:
[tex]V_{o}[/tex], [tex]V_{f}[/tex] - Initial and final capacities in the fish tank, measured in gallons.
Hence, the integer that representes the draining of 15 gallons of water from a fish tank is [tex]\Delta V = V_{f} - V_{o} = -15\,gal[/tex]