Question

mike discovered that the pool in his backyard is leaking slowly. the pool holds 13,059 gallons of water, and is leaking at a rate of 14 gallons per day. if mike does not replace the water that has leaked from the pool, how many gallons of water will remain in the pool after 176 days?

Answer 1

After 176 days, Mike's pool will have 10,595 gallons of water remaining if he does not replace the water that has leaked out at a rate of 14 gallons per day.

Step-by-step explanation:

Mike discovered that his pool is leaking at a rate of 14 gallons per day. To calculate the amount of water that will remain in the pool after 176 days, we need to multiply the daily leak rate by the number of days and then subtract that total from the pool's initial volume.

Initial volume of pool = 13,059 gallons

Daily leak rate = 14 gallons per day

Number of days = 176 days

To find the total amount of water lost, we calculate 14 gallons/day × 176 days = 2,464 gallons. Next, we subtract the total leaked water from the initial volume to find the remaining water in the pool:

Remaining water = Initial volume - Total leaked water
= 13,059 gallons - 2,464 gallons
= 10,595 gallons

Therefore, after 176 days, Mike will have 10,595 gallons of water left in the pool if he does not replace the leaked water.