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) + 2000 gal/hr
(C) + 500 gal/hr.
(D) + 1000 gal/hr
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) +1000 gal/hr Yes.
Divide change in water (500 gal)
by change in time (1/2 hr).
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 No.
The amount of water is increasing,
not decreasing.
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) +2000 gal/hr No.
Subtract to get the change in water.
Then divide by change in time.
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) +500 gal/hr. No.
That would be the change but not the rate.