Question

A rectangular swimming pool holds 15,360 gallons of water. Every 3 to 5 years the swimming pool must be drained for maintenance. A submersible water pump can drain the pool at an average rate of 1800 gallons per hour.

What function can be used to find the number of x hours needed to drain the pool.

A: f(x) = 1800x+15360
B: f(x) = 15360-1800x
C: f(x) = -1800(x+15360)
D: f(x)=1800(x-15360)

Answer 1

Answer: B: f(x) = 15360 - 1800x

Step-by-step explanation: This is because the function represents the amount of water left in the pool after "x" hours of pumping. We start with 15,360 gallons of water in the pool and then subtract the amount of water that has been pumped out, which is equal to the rate of pumping (1800 gallons per hour) multiplied by the number of hours pumped (x).