Question

liggons, zakanias solving systems of linear equations
the amount of water in a pool is 12,000 gallons. during the morning, water is added to the pool at a rate of 0.32 gallon per hour. this situation can be modeled using the equation in the box, where v represents the volume of water in the pool, and t represents hours.
v = 0.32t + 12,000
what is the most reasonable meaning of the number 0.32 in this equation?

• the number of hours it takes to fill the pool totally
• the number of hours it takes to add 0.32 gallon
• the number of gallons of water being added per hour
• the number of gallons in the pool after 12,000 hours

Explanation:

In a linear - equation of the form $y = mx + b$ (here $V=0.32t + 12000$), $m$ represents the rate of change. Given that $V$ is volume and $t$ is time in hours, 0.32 is the rate at which the volume of water changes with respect to time. So, it's the number of gallons of water added per hour.

Answer:

the number of gallons of water being added per hour