Ski resorts require large amounts of water in order to make snow. Snow mass Ski Area in Colorado plans to pump between 1120 and 1900 gal of water per minute at least 12 hr per day from Snow mass Creek between mid-October and late December.

(a) Determine an equation that will calculate the minimum amount of water A (in gallons) pumped after x days during mid-October to late December.

(b) Find the minimum amount of water pumped in 30 days.

(c) Suppose the water being pumped from Snow mass Creek was used to fill swimming pools. The average backyard swimming pool holds 20,000 gal of water. Determine an equation that will give the minimum number of pools P that could be filled after x days. How many pools could be filled each day (to the nearest whole number)?

(d) To the nearest day, in how many days could a minimum of 1000 pools be filled?