at the end of summer, I decide to drain the 1500 gallon swimming pool. I noticed that it drains faster when there is more water in the pool. that was interesting to me, so I decided to measure the rate at which it drains. I found that 3% was draining out of the pool every every minute. use a table, a graph, and an equation to create a mathematical model of the gallons of water in the pool at t minutes.

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)

using pemdas, (order of operations) you'll see the answer is 24.