My question is
2. 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 pool fill, so I wanted 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 5 minutes. How many gallons of water will be in the pool after
50 minutes? How many minutes will it take to fill the pool? Justify your answer with a mathematical model of the problem situation.
so 2 gallons every 5 minutes 2/5= .4 so .4 a minute and you already have 5 gallons in so those need to be added m=minutes y=0.4m + 5 will be what you want to find out if you are looking to find out how much will be there in a certain time for 50 minutes you will have y=0.4(50) +5 20+5 25 gallons HOWEVER, the equation has to be changed if you want to tell how long you have to wait for it to fill. m=2.5(g-5) m=minutes g= gallons you subtract 5 because they are already there you multiply by 2.5 because it fills at a rate of 1 gallon every 2.5 minutes. m=2.5(1500-5) for the sake of it being easier i will do the -5 separately 2.5(1500 = 3750 2.5(-5= -12.5 3750-12.5 3737.5 minutes to fill the pool. 3720/60 = 62 17.5/60 = .292 62.292 hours to fill the pool. p.s. you have a really slow hose. Its good you didn't wait for it to fill, you would have died from lack of water before then if you just sat and waited.
