Question

Our family has a small pool for relaxing in the summer that holds 1500 gallons of water. I decided to fill the pool for the summer. When I had 5 gallons of water in the pool, I decided that I didn't want to stand outside and watch the poik fill, so I had to figure out how long it would take so that I could leave, but come back to turn off the water at the right time. I checked the flow on the hose and found that it was filling the pool at a rate of 2 gallons every minute. Use a table, a graph, and a equation to create a mathematical model for the number of gallons of water in the pool ar minutes?

Answer 1

Let the volume, as a function of time t, be v:

v(t) = 5 + 2t

v(t) = 5 + 2t

The mathematical model is v(t) = 5 + 2t