sam discovered that the pool in his backyard is leaking slowly. the pool holds 15,684 gallons of water, and is leaking at a rate of 8 gallons per day. after how many days will the pool be empty

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Answer:

It will take the pool 1,960.5 days for the pool to become empty.

Step-by-step explanation:

We can find this answer by simply dividing the two numbers together:

15,684 ÷ 8 = 1,960.5 days.

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Answer:

1960.5 days

Step-by-step explanation:

[tex]\boxed{\textsf{Rate (gallons per day)} = \sf \dfrac{Volume\;(gallons)}{Number\; of\; days}}[/tex]

Given:

  • Volume = 15,684 gallons
  • Rate = 8 gallons per day

Substitute the given values into the formula:

[tex]\implies 8=\dfrac{15684}{\sf Number\;of\;days}[/tex]

[tex]\implies \sf Number\;of\;days=\dfrac{15684}{8}[/tex]

[tex]\implies \sf Number\;of\;days=1960.5[/tex]

Therefore, if the pool is leaking at a rate of 8 gallons per day, the pool will be empty after 1960.5 days.