Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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.

Is the answer 2(n-1) + 5?

Sagot :

shrilkshire
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. 


We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.