At 3:30 P.M. a swimming pool contains 2000 gallons of water. At 4:00 P.M. it contains 2500 gallons of water. The rate of change in the amount of water in the pool is

(A) + 1000 gal/hr     (B) - 1000 gal/hr

(C) + 2000 gal/hr     (D) + 500 gal/hr.


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At 3:30 P.M. a swimming pool contains 2000 gallons of water. At 4:00 P.M. it contains 2500 gallons of water. The rate of change in the amount of water in the pool is

(A) +1000 gal/hr     Yes.
Divide change in water (500 gal)
by change in time (1/2 hr).

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At 3:30 P.M. a swimming pool contains 2000 gallons of water. At 4:00 P.M. it contains 2500 gallons of water. The rate of change in the amount of water in the pool is

(B) -1000 gal/hr     No.
The amount of water is increasing,
not decreasing.

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At 3:30 P.M. a swimming pool contains 2000 gallons of water. At 4:00 P.M. it contains 2500 gallons of water. The rate of change in the amount of water in the pool is

(C) +2000 gal/hr     No.
Subtract to get the change in water.
Then divide by change in time.

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At 3:30 P.M. a swimming pool contains 2000 gallons of water. At 4:00 P.M. it contains 2500 gallons of water. The rate of change in the amount of water in the pool is

(D) +500 gal/hr.     No.

That would be the change but not the rate.

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07.3